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Finding the Fourth Proportional to 10,422.46, 15,641.57 and 8,076.75

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Solution

The fourth proportional to 10,422.46, 15,641.57 and 8,076.75 is: 12,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.46 : 15,641.57 = 8,076.75 : x
  2. Step 2: Convert to fraction form
    10,422.46/15,641.57 = 8,076.75/x
  3. Step 3: Cross multiply
    10,422.46x = 15,641.57 × 8,076.75
  4. Step 4: Simplify right side
    10,422.46x = 126,333,050.50
  5. Step 5: Solve for x
    x = 126,333,050.50/10,422.46
  6. Step 6: Final answer
    x = 12,121.23

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Why These Related Problems?

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