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Finding the Fourth Proportional to 10,488.66, 15,732.96 and 2,697.48

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Solution

The fourth proportional to 10,488.66, 15,732.96 and 2,697.48 is: 4,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.66 : 15,732.96 = 2,697.48 : x
  2. Step 2: Convert to fraction form
    10,488.66/15,732.96 = 2,697.48/x
  3. Step 3: Cross multiply
    10,488.66x = 15,732.96 × 2,697.48
  4. Step 4: Simplify right side
    10,488.66x = 42,439,344.94
  5. Step 5: Solve for x
    x = 42,439,344.94/10,488.66
  6. Step 6: Final answer
    x = 4,046.21

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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.