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Finding the Fourth Proportional to 10,099.88, 13,936.92 and 5,623.88

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Solution

The fourth proportional to 10,099.88, 13,936.92 and 5,623.88 is: 7,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.88 : 13,936.92 = 5,623.88 : x
  2. Step 2: Convert to fraction form
    10,099.88/13,936.92 = 5,623.88/x
  3. Step 3: Cross multiply
    10,099.88x = 13,936.92 × 5,623.88
  4. Step 4: Simplify right side
    10,099.88x = 78,379,565.65
  5. Step 5: Solve for x
    x = 78,379,565.65/10,099.88
  6. Step 6: Final answer
    x = 7,760.45

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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.