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Finding the Fourth Proportional to 7,687.62, 10,609.31 and 4,702.52

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Solution

The fourth proportional to 7,687.62, 10,609.31 and 4,702.52 is: 6,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.62 : 10,609.31 = 4,702.52 : x
  2. Step 2: Convert to fraction form
    7,687.62/10,609.31 = 4,702.52/x
  3. Step 3: Cross multiply
    7,687.62x = 10,609.31 × 4,702.52
  4. Step 4: Simplify right side
    7,687.62x = 49,890,492.46
  5. Step 5: Solve for x
    x = 49,890,492.46/7,687.62
  6. Step 6: Final answer
    x = 6,489.72

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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.