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Finding the Fourth Proportional to 10,949.44, 15,107.49 and 6,168.46

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Solution

The fourth proportional to 10,949.44, 15,107.49 and 6,168.46 is: 8,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.44 : 15,107.49 = 6,168.46 : x
  2. Step 2: Convert to fraction form
    10,949.44/15,107.49 = 6,168.46/x
  3. Step 3: Cross multiply
    10,949.44x = 15,107.49 × 6,168.46
  4. Step 4: Simplify right side
    10,949.44x = 93,189,947.77
  5. Step 5: Solve for x
    x = 93,189,947.77/10,949.44
  6. Step 6: Final answer
    x = 8,510.93

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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.