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Finding the Fourth Proportional to 10,949.76, 15,116.80 and 7,230.24

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Solution

The fourth proportional to 10,949.76, 15,116.80 and 7,230.24 is: 9,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.76 : 15,116.80 = 7,230.24 : x
  2. Step 2: Convert to fraction form
    10,949.76/15,116.80 = 7,230.24/x
  3. Step 3: Cross multiply
    10,949.76x = 15,116.80 × 7,230.24
  4. Step 4: Simplify right side
    10,949.76x = 109,298,092.03
  5. Step 5: Solve for x
    x = 109,298,092.03/10,949.76
  6. Step 6: Final answer
    x = 9,981.78

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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.