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Finding the Fourth Proportional to 10,391.20, 15,595.08 and 5,463.72

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Solution

The fourth proportional to 10,391.20, 15,595.08 and 5,463.72 is: 8,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.20 : 15,595.08 = 5,463.72 : x
  2. Step 2: Convert to fraction form
    10,391.20/15,595.08 = 5,463.72/x
  3. Step 3: Cross multiply
    10,391.20x = 15,595.08 × 5,463.72
  4. Step 4: Simplify right side
    10,391.20x = 85,207,150.50
  5. Step 5: Solve for x
    x = 85,207,150.50/10,391.20
  6. Step 6: Final answer
    x = 8,199.93

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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.