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Finding the Fourth Proportional to 10,099.62, 13,936.95 and 5,623.20

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Solution

The fourth proportional to 10,099.62, 13,936.95 and 5,623.20 is: 7,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.62 : 13,936.95 = 5,623.20 : x
  2. Step 2: Convert to fraction form
    10,099.62/13,936.95 = 5,623.20/x
  3. Step 3: Cross multiply
    10,099.62x = 13,936.95 × 5,623.20
  4. Step 4: Simplify right side
    10,099.62x = 78,370,257.24
  5. Step 5: Solve for x
    x = 78,370,257.24/10,099.62
  6. Step 6: Final answer
    x = 7,759.72

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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.