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Finding the Fourth Proportional to 10,420.52, 15,612.54 and 8,676.71

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Solution

The fourth proportional to 10,420.52, 15,612.54 and 8,676.71 is: 12,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.52 : 15,612.54 = 8,676.71 : x
  2. Step 2: Convert to fraction form
    10,420.52/15,612.54 = 8,676.71/x
  3. Step 3: Cross multiply
    10,420.52x = 15,612.54 × 8,676.71
  4. Step 4: Simplify right side
    10,420.52x = 135,465,481.94
  5. Step 5: Solve for x
    x = 135,465,481.94/10,420.52
  6. Step 6: Final answer
    x = 12,999.88

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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.