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Finding the Fourth Proportional to 7,702.71, 10,629.83 and 4,517.89

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Solution

The fourth proportional to 7,702.71, 10,629.83 and 4,517.89 is: 6,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.71 : 10,629.83 = 4,517.89 : x
  2. Step 2: Convert to fraction form
    7,702.71/10,629.83 = 4,517.89/x
  3. Step 3: Cross multiply
    7,702.71x = 10,629.83 × 4,517.89
  4. Step 4: Simplify right side
    7,702.71x = 48,024,380.07
  5. Step 5: Solve for x
    x = 48,024,380.07/7,702.71
  6. Step 6: Final answer
    x = 6,234.74

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Why These Related Problems?

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