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Finding the Fourth Proportional to 10,691.68, 16,002.96 and 6,298.24

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Solution

The fourth proportional to 10,691.68, 16,002.96 and 6,298.24 is: 9,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.68 : 16,002.96 = 6,298.24 : x
  2. Step 2: Convert to fraction form
    10,691.68/16,002.96 = 6,298.24/x
  3. Step 3: Cross multiply
    10,691.68x = 16,002.96 × 6,298.24
  4. Step 4: Simplify right side
    10,691.68x = 100,790,482.79
  5. Step 5: Solve for x
    x = 100,790,482.79/10,691.68
  6. Step 6: Final answer
    x = 9,427.00

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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.