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Finding the Fourth Proportional to 7,391.38, 11,033.11 and 6,411.11

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Solution

The fourth proportional to 7,391.38, 11,033.11 and 6,411.11 is: 9,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.38 : 11,033.11 = 6,411.11 : x
  2. Step 2: Convert to fraction form
    7,391.38/11,033.11 = 6,411.11/x
  3. Step 3: Cross multiply
    7,391.38x = 11,033.11 × 6,411.11
  4. Step 4: Simplify right side
    7,391.38x = 70,734,410.66
  5. Step 5: Solve for x
    x = 70,734,410.66/7,391.38
  6. Step 6: Final answer
    x = 9,569.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.