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Finding the Fourth Proportional to 8,381.75, 11,566.23 and 5,022.88

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Solution

The fourth proportional to 8,381.75, 11,566.23 and 5,022.88 is: 6,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.75 : 11,566.23 = 5,022.88 : x
  2. Step 2: Convert to fraction form
    8,381.75/11,566.23 = 5,022.88/x
  3. Step 3: Cross multiply
    8,381.75x = 11,566.23 × 5,022.88
  4. Step 4: Simplify right side
    8,381.75x = 58,095,737.59
  5. Step 5: Solve for x
    x = 58,095,737.59/8,381.75
  6. Step 6: Final answer
    x = 6,931.22

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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.