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Finding the Fourth Proportional to 10,699.28, 16,012.16 and 6,748.71

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Solution

The fourth proportional to 10,699.28, 16,012.16 and 6,748.71 is: 10,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.28 : 16,012.16 = 6,748.71 : x
  2. Step 2: Convert to fraction form
    10,699.28/16,012.16 = 6,748.71/x
  3. Step 3: Cross multiply
    10,699.28x = 16,012.16 × 6,748.71
  4. Step 4: Simplify right side
    10,699.28x = 108,061,424.31
  5. Step 5: Solve for x
    x = 108,061,424.31/10,699.28
  6. Step 6: Final answer
    x = 10,099.88

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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.