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Finding the Fourth Proportional to 10,700.62, 14,772.66 and 6,452.44

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Solution

The fourth proportional to 10,700.62, 14,772.66 and 6,452.44 is: 8,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.62 : 14,772.66 = 6,452.44 : x
  2. Step 2: Convert to fraction form
    10,700.62/14,772.66 = 6,452.44/x
  3. Step 3: Cross multiply
    10,700.62x = 14,772.66 × 6,452.44
  4. Step 4: Simplify right side
    10,700.62x = 95,319,702.29
  5. Step 5: Solve for x
    x = 95,319,702.29/10,700.62
  6. Step 6: Final answer
    x = 8,907.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.