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Finding the Fourth Proportional to 10,481.52, 15,717.65 and 5,550

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Solution

The fourth proportional to 10,481.52, 15,717.65 and 5,550 is: 8,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.52 : 15,717.65 = 5,550 : x
  2. Step 2: Convert to fraction form
    10,481.52/15,717.65 = 5,550/x
  3. Step 3: Cross multiply
    10,481.52x = 15,717.65 × 5,550
  4. Step 4: Simplify right side
    10,481.52x = 87,232,957.50
  5. Step 5: Solve for x
    x = 87,232,957.50/10,481.52
  6. Step 6: Final answer
    x = 8,322.55

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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.