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Finding the Fourth Proportional to 10,891.92, 15,033.52 and 6,178.96

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Solution

The fourth proportional to 10,891.92, 15,033.52 and 6,178.96 is: 8,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.92 : 15,033.52 = 6,178.96 : x
  2. Step 2: Convert to fraction form
    10,891.92/15,033.52 = 6,178.96/x
  3. Step 3: Cross multiply
    10,891.92x = 15,033.52 × 6,178.96
  4. Step 4: Simplify right side
    10,891.92x = 92,891,518.74
  5. Step 5: Solve for x
    x = 92,891,518.74/10,891.92
  6. Step 6: Final answer
    x = 8,528.48

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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.