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Finding the Fourth Proportional to 8,221.91, 12,315.04 and 5,102.66

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Solution

The fourth proportional to 8,221.91, 12,315.04 and 5,102.66 is: 7,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.91 : 12,315.04 = 5,102.66 : x
  2. Step 2: Convert to fraction form
    8,221.91/12,315.04 = 5,102.66/x
  3. Step 3: Cross multiply
    8,221.91x = 12,315.04 × 5,102.66
  4. Step 4: Simplify right side
    8,221.91x = 62,839,480.04
  5. Step 5: Solve for x
    x = 62,839,480.04/8,221.91
  6. Step 6: Final answer
    x = 7,642.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.