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Finding the Fourth Proportional to 10,391.04, 15,591.24 and 5,648.64

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Solution

The fourth proportional to 10,391.04, 15,591.24 and 5,648.64 is: 8,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.04 : 15,591.24 = 5,648.64 : x
  2. Step 2: Convert to fraction form
    10,391.04/15,591.24 = 5,648.64/x
  3. Step 3: Cross multiply
    10,391.04x = 15,591.24 × 5,648.64
  4. Step 4: Simplify right side
    10,391.04x = 88,069,301.91
  5. Step 5: Solve for x
    x = 88,069,301.91/10,391.04
  6. Step 6: Final answer
    x = 8,475.50

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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.