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Finding the Fourth Proportional to 10,949.68, 15,107.82 and 6,168.66

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Solution

The fourth proportional to 10,949.68, 15,107.82 and 6,168.66 is: 8,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.68 : 15,107.82 = 6,168.66 : x
  2. Step 2: Convert to fraction form
    10,949.68/15,107.82 = 6,168.66/x
  3. Step 3: Cross multiply
    10,949.68x = 15,107.82 × 6,168.66
  4. Step 4: Simplify right side
    10,949.68x = 93,194,925.13
  5. Step 5: Solve for x
    x = 93,194,925.13/10,949.68
  6. Step 6: Final answer
    x = 8,511.20

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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.