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Finding the Fourth Proportional to 7,965.92, 10,993.04 and 4,429.28

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Solution

The fourth proportional to 7,965.92, 10,993.04 and 4,429.28 is: 6,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.92 : 10,993.04 = 4,429.28 : x
  2. Step 2: Convert to fraction form
    7,965.92/10,993.04 = 4,429.28/x
  3. Step 3: Cross multiply
    7,965.92x = 10,993.04 × 4,429.28
  4. Step 4: Simplify right side
    7,965.92x = 48,691,252.21
  5. Step 5: Solve for x
    x = 48,691,252.21/7,965.92
  6. Step 6: Final answer
    x = 6,112.45

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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.