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Finding the Fourth Proportional to 7,724,226.73, 10,659,796.55 and 4,286,496.01

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Solution

The fourth proportional to 7,724,226.73, 10,659,796.55 and 4,286,496.01 is: 5,915,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,226.73 : 10,659,796.55 = 4,286,496.01 : x
  2. Step 2: Convert to fraction form
    7,724,226.73/10,659,796.55 = 4,286,496.01/x
  3. Step 3: Cross multiply
    7,724,226.73x = 10,659,796.55 × 4,286,496.01
  4. Step 4: Simplify right side
    7,724,226.73x = 45,693,175,378,986.77
  5. Step 5: Solve for x
    x = 45,693,175,378,986.77/7,724,226.73
  6. Step 6: Final answer
    x = 5,915,566.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.