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Finding the Fourth Proportional to 10,702.32, 16,049.43 and 5,154.36

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Solution

The fourth proportional to 10,702.32, 16,049.43 and 5,154.36 is: 7,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.32 : 16,049.43 = 5,154.36 : x
  2. Step 2: Convert to fraction form
    10,702.32/16,049.43 = 5,154.36/x
  3. Step 3: Cross multiply
    10,702.32x = 16,049.43 × 5,154.36
  4. Step 4: Simplify right side
    10,702.32x = 82,724,540.01
  5. Step 5: Solve for x
    x = 82,724,540.01/10,702.32
  6. Step 6: Final answer
    x = 7,729.59

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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.