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Finding the Fourth Proportional to 10,392.52, 15,593.32 and 5,461

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Solution

The fourth proportional to 10,392.52, 15,593.32 and 5,461 is: 8,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.52 : 15,593.32 = 5,461 : x
  2. Step 2: Convert to fraction form
    10,392.52/15,593.32 = 5,461/x
  3. Step 3: Cross multiply
    10,392.52x = 15,593.32 × 5,461
  4. Step 4: Simplify right side
    10,392.52x = 85,155,120.52
  5. Step 5: Solve for x
    x = 85,155,120.52/10,392.52
  6. Step 6: Final answer
    x = 8,193.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.