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Finding the Fourth Proportional to 8,531.49, 11,765.66 and 5,846.61

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Solution

The fourth proportional to 8,531.49, 11,765.66 and 5,846.61 is: 8,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.49 : 11,765.66 = 5,846.61 : x
  2. Step 2: Convert to fraction form
    8,531.49/11,765.66 = 5,846.61/x
  3. Step 3: Cross multiply
    8,531.49x = 11,765.66 × 5,846.61
  4. Step 4: Simplify right side
    8,531.49x = 68,789,240.30
  5. Step 5: Solve for x
    x = 68,789,240.30/8,531.49
  6. Step 6: Final answer
    x = 8,062.98

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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.