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Finding the Fourth Proportional to 7,966.28, 10,993.15 and 4,429.24

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Solution

The fourth proportional to 7,966.28, 10,993.15 and 4,429.24 is: 6,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.28 : 10,993.15 = 4,429.24 : x
  2. Step 2: Convert to fraction form
    7,966.28/10,993.15 = 4,429.24/x
  3. Step 3: Cross multiply
    7,966.28x = 10,993.15 × 4,429.24
  4. Step 4: Simplify right side
    7,966.28x = 48,691,299.71
  5. Step 5: Solve for x
    x = 48,691,299.71/7,966.28
  6. Step 6: Final answer
    x = 6,112.18

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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.