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Finding the Fourth Proportional to 7,412.01, 10,228.50 and 4,054.83

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Solution

The fourth proportional to 7,412.01, 10,228.50 and 4,054.83 is: 5,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.01 : 10,228.50 = 4,054.83 : x
  2. Step 2: Convert to fraction form
    7,412.01/10,228.50 = 4,054.83/x
  3. Step 3: Cross multiply
    7,412.01x = 10,228.50 × 4,054.83
  4. Step 4: Simplify right side
    7,412.01x = 41,474,828.66
  5. Step 5: Solve for x
    x = 41,474,828.66/7,412.01
  6. Step 6: Final answer
    x = 5,595.63

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