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Finding the Fourth Proportional to 10,600.72, 15,893.40 and 5,402.64

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Solution

The fourth proportional to 10,600.72, 15,893.40 and 5,402.64 is: 8,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.72 : 15,893.40 = 5,402.64 : x
  2. Step 2: Convert to fraction form
    10,600.72/15,893.40 = 5,402.64/x
  3. Step 3: Cross multiply
    10,600.72x = 15,893.40 × 5,402.64
  4. Step 4: Simplify right side
    10,600.72x = 85,866,318.58
  5. Step 5: Solve for x
    x = 85,866,318.58/10,600.72
  6. Step 6: Final answer
    x = 8,100.05

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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.