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Finding the Fourth Proportional to 11,331.20, 15,630.72 and 7,132.16

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Solution

The fourth proportional to 11,331.20, 15,630.72 and 7,132.16 is: 9,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.20 : 15,630.72 = 7,132.16 : x
  2. Step 2: Convert to fraction form
    11,331.20/15,630.72 = 7,132.16/x
  3. Step 3: Cross multiply
    11,331.20x = 15,630.72 × 7,132.16
  4. Step 4: Simplify right side
    11,331.20x = 111,480,795.96
  5. Step 5: Solve for x
    x = 111,480,795.96/11,331.20
  6. Step 6: Final answer
    x = 9,838.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.