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Finding the Fourth Proportional to 10,753.34, 16,112.99 and 8,294.18

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Solution

The fourth proportional to 10,753.34, 16,112.99 and 8,294.18 is: 12,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.34 : 16,112.99 = 8,294.18 : x
  2. Step 2: Convert to fraction form
    10,753.34/16,112.99 = 8,294.18/x
  3. Step 3: Cross multiply
    10,753.34x = 16,112.99 × 8,294.18
  4. Step 4: Simplify right side
    10,753.34x = 133,643,979.57
  5. Step 5: Solve for x
    x = 133,643,979.57/10,753.34
  6. Step 6: Final answer
    x = 12,428.14

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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.