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Finding the Fourth Proportional to 8,510.67, 11,750.27 and 7,922.61

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Solution

The fourth proportional to 8,510.67, 11,750.27 and 7,922.61 is: 10,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.67 : 11,750.27 = 7,922.61 : x
  2. Step 2: Convert to fraction form
    8,510.67/11,750.27 = 7,922.61/x
  3. Step 3: Cross multiply
    8,510.67x = 11,750.27 × 7,922.61
  4. Step 4: Simplify right side
    8,510.67x = 93,092,766.99
  5. Step 5: Solve for x
    x = 93,092,766.99/8,510.67
  6. Step 6: Final answer
    x = 10,938.36

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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.