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Finding the Fourth Proportional to 10,627.39, 15,937.84 and 8,542.45

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Solution

The fourth proportional to 10,627.39, 15,937.84 and 8,542.45 is: 12,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.39 : 15,937.84 = 8,542.45 : x
  2. Step 2: Convert to fraction form
    10,627.39/15,937.84 = 8,542.45/x
  3. Step 3: Cross multiply
    10,627.39x = 15,937.84 × 8,542.45
  4. Step 4: Simplify right side
    10,627.39x = 136,148,201.31
  5. Step 5: Solve for x
    x = 136,148,201.31/10,627.39
  6. Step 6: Final answer
    x = 12,811.07

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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.