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Finding the Fourth Proportional to 10,391.29, 14,338.06 and 6,143.04

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Solution

The fourth proportional to 10,391.29, 14,338.06 and 6,143.04 is: 8,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.29 : 14,338.06 = 6,143.04 : x
  2. Step 2: Convert to fraction form
    10,391.29/14,338.06 = 6,143.04/x
  3. Step 3: Cross multiply
    10,391.29x = 14,338.06 × 6,143.04
  4. Step 4: Simplify right side
    10,391.29x = 88,079,260.74
  5. Step 5: Solve for x
    x = 88,079,260.74/10,391.29
  6. Step 6: Final answer
    x = 8,476.26

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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.