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Finding the Fourth Proportional to 10,651.52, 15,944.40 and 7,881.44

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Solution

The fourth proportional to 10,651.52, 15,944.40 and 7,881.44 is: 11,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.52 : 15,944.40 = 7,881.44 : x
  2. Step 2: Convert to fraction form
    10,651.52/15,944.40 = 7,881.44/x
  3. Step 3: Cross multiply
    10,651.52x = 15,944.40 × 7,881.44
  4. Step 4: Simplify right side
    10,651.52x = 125,664,831.94
  5. Step 5: Solve for x
    x = 125,664,831.94/10,651.52
  6. Step 6: Final answer
    x = 11,797.83

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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.