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Finding the Fourth Proportional to 8,122.34, 11,218.82 and 5,880.66

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Solution

The fourth proportional to 8,122.34, 11,218.82 and 5,880.66 is: 8,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.34 : 11,218.82 = 5,880.66 : x
  2. Step 2: Convert to fraction form
    8,122.34/11,218.82 = 5,880.66/x
  3. Step 3: Cross multiply
    8,122.34x = 11,218.82 × 5,880.66
  4. Step 4: Simplify right side
    8,122.34x = 65,974,108.77
  5. Step 5: Solve for x
    x = 65,974,108.77/8,122.34
  6. Step 6: Final answer
    x = 8,122.55

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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.