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Finding the Fourth Proportional to 10,340.80, 14,269.92 and 5,864.64

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Solution

The fourth proportional to 10,340.80, 14,269.92 and 5,864.64 is: 8,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.80 : 14,269.92 = 5,864.64 : x
  2. Step 2: Convert to fraction form
    10,340.80/14,269.92 = 5,864.64/x
  3. Step 3: Cross multiply
    10,340.80x = 14,269.92 × 5,864.64
  4. Step 4: Simplify right side
    10,340.80x = 83,687,943.63
  5. Step 5: Solve for x
    x = 83,687,943.63/10,340.80
  6. Step 6: Final answer
    x = 8,092.99

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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.