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Finding the Fourth Proportional to 10,914.89, 15,062.56 and 6,199.17

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Solution

The fourth proportional to 10,914.89, 15,062.56 and 6,199.17 is: 8,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.89 : 15,062.56 = 6,199.17 : x
  2. Step 2: Convert to fraction form
    10,914.89/15,062.56 = 6,199.17/x
  3. Step 3: Cross multiply
    10,914.89x = 15,062.56 × 6,199.17
  4. Step 4: Simplify right side
    10,914.89x = 93,375,298.09
  5. Step 5: Solve for x
    x = 93,375,298.09/10,914.89
  6. Step 6: Final answer
    x = 8,554.86

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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.