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Finding the Fourth Proportional to 10,451.41, 15,681.13 and 6,294.29

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Solution

The fourth proportional to 10,451.41, 15,681.13 and 6,294.29 is: 9,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.41 : 15,681.13 = 6,294.29 : x
  2. Step 2: Convert to fraction form
    10,451.41/15,681.13 = 6,294.29/x
  3. Step 3: Cross multiply
    10,451.41x = 15,681.13 × 6,294.29
  4. Step 4: Simplify right side
    10,451.41x = 98,701,485.61
  5. Step 5: Solve for x
    x = 98,701,485.61/10,451.41
  6. Step 6: Final answer
    x = 9,443.85

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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.