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Finding the Fourth Proportional to 10,221.77, 15,324.27 and 5,292.81

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Solution

The fourth proportional to 10,221.77, 15,324.27 and 5,292.81 is: 7,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.77 : 15,324.27 = 5,292.81 : x
  2. Step 2: Convert to fraction form
    10,221.77/15,324.27 = 5,292.81/x
  3. Step 3: Cross multiply
    10,221.77x = 15,324.27 × 5,292.81
  4. Step 4: Simplify right side
    10,221.77x = 81,108,449.50
  5. Step 5: Solve for x
    x = 81,108,449.50/10,221.77
  6. Step 6: Final answer
    x = 7,934.88

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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.