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Finding the Fourth Proportional to 10,287.61, 15,428.22 and 3,712.94

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Solution

The fourth proportional to 10,287.61, 15,428.22 and 3,712.94 is: 5,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.61 : 15,428.22 = 3,712.94 : x
  2. Step 2: Convert to fraction form
    10,287.61/15,428.22 = 3,712.94/x
  3. Step 3: Cross multiply
    10,287.61x = 15,428.22 × 3,712.94
  4. Step 4: Simplify right side
    10,287.61x = 57,284,055.17
  5. Step 5: Solve for x
    x = 57,284,055.17/10,287.61
  6. Step 6: Final answer
    x = 5,568.26

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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.