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Finding the Fourth Proportional to 8,371.62, 11,541.29 and 8,112.83

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Solution

The fourth proportional to 8,371.62, 11,541.29 and 8,112.83 is: 11,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.62 : 11,541.29 = 8,112.83 : x
  2. Step 2: Convert to fraction form
    8,371.62/11,541.29 = 8,112.83/x
  3. Step 3: Cross multiply
    8,371.62x = 11,541.29 × 8,112.83
  4. Step 4: Simplify right side
    8,371.62x = 93,632,425.48
  5. Step 5: Solve for x
    x = 93,632,425.48/8,371.62
  6. Step 6: Final answer
    x = 11,184.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.