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Finding the Fourth Proportional to 10,930.80, 15,086.04 and 6,215.52

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Solution

The fourth proportional to 10,930.80, 15,086.04 and 6,215.52 is: 8,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.80 : 15,086.04 = 6,215.52 : x
  2. Step 2: Convert to fraction form
    10,930.80/15,086.04 = 6,215.52/x
  3. Step 3: Cross multiply
    10,930.80x = 15,086.04 × 6,215.52
  4. Step 4: Simplify right side
    10,930.80x = 93,767,583.34
  5. Step 5: Solve for x
    x = 93,767,583.34/10,930.80
  6. Step 6: Final answer
    x = 8,578.29

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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.