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Finding the Fourth Proportional to 8,889.68, 12,273.92 and 5,534

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Solution

The fourth proportional to 8,889.68, 12,273.92 and 5,534 is: 7,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,889.68 : 12,273.92 = 5,534 : x
  2. Step 2: Convert to fraction form
    8,889.68/12,273.92 = 5,534/x
  3. Step 3: Cross multiply
    8,889.68x = 12,273.92 × 5,534
  4. Step 4: Simplify right side
    8,889.68x = 67,923,873.28
  5. Step 5: Solve for x
    x = 67,923,873.28/8,889.68
  6. Step 6: Final answer
    x = 7,640.76

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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.