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Finding the Fourth Proportional to 10,702.71, 16,043.52 and 6,254.73

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Solution

The fourth proportional to 10,702.71, 16,043.52 and 6,254.73 is: 9,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.71 : 16,043.52 = 6,254.73 : x
  2. Step 2: Convert to fraction form
    10,702.71/16,043.52 = 6,254.73/x
  3. Step 3: Cross multiply
    10,702.71x = 16,043.52 × 6,254.73
  4. Step 4: Simplify right side
    10,702.71x = 100,347,885.85
  5. Step 5: Solve for x
    x = 100,347,885.85/10,702.71
  6. Step 6: Final answer
    x = 9,375.93

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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.