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Finding the Fourth Proportional to 8,532.31, 11,780.39 and 5,346.92

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Solution

The fourth proportional to 8,532.31, 11,780.39 and 5,346.92 is: 7,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.31 : 11,780.39 = 5,346.92 : x
  2. Step 2: Convert to fraction form
    8,532.31/11,780.39 = 5,346.92/x
  3. Step 3: Cross multiply
    8,532.31x = 11,780.39 × 5,346.92
  4. Step 4: Simplify right side
    8,532.31x = 62,988,802.90
  5. Step 5: Solve for x
    x = 62,988,802.90/8,532.31
  6. Step 6: Final answer
    x = 7,382.39

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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.