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Finding the Fourth Proportional to 7,559.73, 11,332.31 and 3,662.01

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Solution

The fourth proportional to 7,559.73, 11,332.31 and 3,662.01 is: 5,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.73 : 11,332.31 = 3,662.01 : x
  2. Step 2: Convert to fraction form
    7,559.73/11,332.31 = 3,662.01/x
  3. Step 3: Cross multiply
    7,559.73x = 11,332.31 × 3,662.01
  4. Step 4: Simplify right side
    7,559.73x = 41,499,014.23
  5. Step 5: Solve for x
    x = 41,499,014.23/7,559.73
  6. Step 6: Final answer
    x = 5,489.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.