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Finding the Fourth Proportional to 10,882.50, 15,017.86 and 5,914.50

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Solution

The fourth proportional to 10,882.50, 15,017.86 and 5,914.50 is: 8,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.50 : 15,017.86 = 5,914.50 : x
  2. Step 2: Convert to fraction form
    10,882.50/15,017.86 = 5,914.50/x
  3. Step 3: Cross multiply
    10,882.50x = 15,017.86 × 5,914.50
  4. Step 4: Simplify right side
    10,882.50x = 88,823,132.97
  5. Step 5: Solve for x
    x = 88,823,132.97/10,882.50
  6. Step 6: Final answer
    x = 8,162.02

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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.