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Finding the Fourth Proportional to 10,339.99, 14,269.93 and 5,864.13

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Solution

The fourth proportional to 10,339.99, 14,269.93 and 5,864.13 is: 8,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.99 : 14,269.93 = 5,864.13 : x
  2. Step 2: Convert to fraction form
    10,339.99/14,269.93 = 5,864.13/x
  3. Step 3: Cross multiply
    10,339.99x = 14,269.93 × 5,864.13
  4. Step 4: Simplify right side
    10,339.99x = 83,680,724.61
  5. Step 5: Solve for x
    x = 83,680,724.61/10,339.99
  6. Step 6: Final answer
    x = 8,092.92

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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.