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Finding the Fourth Proportional to 8,252.60, 11,393.52 and 5,424.71

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Solution

The fourth proportional to 8,252.60, 11,393.52 and 5,424.71 is: 7,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.60 : 11,393.52 = 5,424.71 : x
  2. Step 2: Convert to fraction form
    8,252.60/11,393.52 = 5,424.71/x
  3. Step 3: Cross multiply
    8,252.60x = 11,393.52 × 5,424.71
  4. Step 4: Simplify right side
    8,252.60x = 61,806,550.78
  5. Step 5: Solve for x
    x = 61,806,550.78/8,252.60
  6. Step 6: Final answer
    x = 7,489.34

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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.