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Finding the Fourth Proportional to 7,966.20, 10,993.32 and 4,429.20

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Solution

The fourth proportional to 7,966.20, 10,993.32 and 4,429.20 is: 6,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.20 : 10,993.32 = 4,429.20 : x
  2. Step 2: Convert to fraction form
    7,966.20/10,993.32 = 4,429.20/x
  3. Step 3: Cross multiply
    7,966.20x = 10,993.32 × 4,429.20
  4. Step 4: Simplify right side
    7,966.20x = 48,691,612.94
  5. Step 5: Solve for x
    x = 48,691,612.94/7,966.20
  6. Step 6: Final answer
    x = 6,112.28

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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.