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Finding the Fourth Proportional to 10,287.59, 15,422.09 and 3,709.13

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Solution

The fourth proportional to 10,287.59, 15,422.09 and 3,709.13 is: 5,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.59 : 15,422.09 = 3,709.13 : x
  2. Step 2: Convert to fraction form
    10,287.59/15,422.09 = 3,709.13/x
  3. Step 3: Cross multiply
    10,287.59x = 15,422.09 × 3,709.13
  4. Step 4: Simplify right side
    10,287.59x = 57,202,441.03
  5. Step 5: Solve for x
    x = 57,202,441.03/10,287.59
  6. Step 6: Final answer
    x = 5,560.34

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