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Finding the Fourth Proportional to 10,141.75, 15,217.98 and 7,199.20

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Solution

The fourth proportional to 10,141.75, 15,217.98 and 7,199.20 is: 10,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.75 : 15,217.98 = 7,199.20 : x
  2. Step 2: Convert to fraction form
    10,141.75/15,217.98 = 7,199.20/x
  3. Step 3: Cross multiply
    10,141.75x = 15,217.98 × 7,199.20
  4. Step 4: Simplify right side
    10,141.75x = 109,557,169.53
  5. Step 5: Solve for x
    x = 109,557,169.53/10,141.75
  6. Step 6: Final answer
    x = 10,802.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.