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Finding the Fourth Proportional to 8,838.50, 12,197.42 and 4,859.90

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Solution

The fourth proportional to 8,838.50, 12,197.42 and 4,859.90 is: 6,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.50 : 12,197.42 = 4,859.90 : x
  2. Step 2: Convert to fraction form
    8,838.50/12,197.42 = 4,859.90/x
  3. Step 3: Cross multiply
    8,838.50x = 12,197.42 × 4,859.90
  4. Step 4: Simplify right side
    8,838.50x = 59,278,241.46
  5. Step 5: Solve for x
    x = 59,278,241.46/8,838.50
  6. Step 6: Final answer
    x = 6,706.82

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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.