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Finding the Fourth Proportional to 9,079.14, 12,524.70 and 7,882.50

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Solution

The fourth proportional to 9,079.14, 12,524.70 and 7,882.50 is: 10,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.14 : 12,524.70 = 7,882.50 : x
  2. Step 2: Convert to fraction form
    9,079.14/12,524.70 = 7,882.50/x
  3. Step 3: Cross multiply
    9,079.14x = 12,524.70 × 7,882.50
  4. Step 4: Simplify right side
    9,079.14x = 98,725,947.75
  5. Step 5: Solve for x
    x = 98,725,947.75/9,079.14
  6. Step 6: Final answer
    x = 10,873.93

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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.