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Finding the Fourth Proportional to 10,241.83, 15,348.31 and 8,152.54

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Solution

The fourth proportional to 10,241.83, 15,348.31 and 8,152.54 is: 12,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.83 : 15,348.31 = 8,152.54 : x
  2. Step 2: Convert to fraction form
    10,241.83/15,348.31 = 8,152.54/x
  3. Step 3: Cross multiply
    10,241.83x = 15,348.31 × 8,152.54
  4. Step 4: Simplify right side
    10,241.83x = 125,127,711.21
  5. Step 5: Solve for x
    x = 125,127,711.21/10,241.83
  6. Step 6: Final answer
    x = 12,217.32

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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.