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Finding the Fourth Proportional to 10,391.92, 14,322.31 and 7,868.00

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Solution

The fourth proportional to 10,391.92, 14,322.31 and 7,868.00 is: 10,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.92 : 14,322.31 = 7,868.00 : x
  2. Step 2: Convert to fraction form
    10,391.92/14,322.31 = 7,868.00/x
  3. Step 3: Cross multiply
    10,391.92x = 14,322.31 × 7,868.00
  4. Step 4: Simplify right side
    10,391.92x = 112,687,951.22
  5. Step 5: Solve for x
    x = 112,687,951.22/10,391.92
  6. Step 6: Final answer
    x = 10,843.81

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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.