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Finding the Fourth Proportional to 8,642.92, 11,924.10 and 5,106.28

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Solution

The fourth proportional to 8,642.92, 11,924.10 and 5,106.28 is: 7,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.92 : 11,924.10 = 5,106.28 : x
  2. Step 2: Convert to fraction form
    8,642.92/11,924.10 = 5,106.28/x
  3. Step 3: Cross multiply
    8,642.92x = 11,924.10 × 5,106.28
  4. Step 4: Simplify right side
    8,642.92x = 60,887,793.35
  5. Step 5: Solve for x
    x = 60,887,793.35/8,642.92
  6. Step 6: Final answer
    x = 7,044.82

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