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Finding the Fourth Proportional to 8,542.69, 11,788.57 and 4,957.46

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Solution

The fourth proportional to 8,542.69, 11,788.57 and 4,957.46 is: 6,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.69 : 11,788.57 = 4,957.46 : x
  2. Step 2: Convert to fraction form
    8,542.69/11,788.57 = 4,957.46/x
  3. Step 3: Cross multiply
    8,542.69x = 11,788.57 × 4,957.46
  4. Step 4: Simplify right side
    8,542.69x = 58,441,364.23
  5. Step 5: Solve for x
    x = 58,441,364.23/8,542.69
  6. Step 6: Final answer
    x = 6,841.10

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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.