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Finding the Fourth Proportional to 8,884.12, 12,252.18 and 5,737

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Solution

The fourth proportional to 8,884.12, 12,252.18 and 5,737 is: 7,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.12 : 12,252.18 = 5,737 : x
  2. Step 2: Convert to fraction form
    8,884.12/12,252.18 = 5,737/x
  3. Step 3: Cross multiply
    8,884.12x = 12,252.18 × 5,737
  4. Step 4: Simplify right side
    8,884.12x = 70,290,756.66
  5. Step 5: Solve for x
    x = 70,290,756.66/8,884.12
  6. Step 6: Final answer
    x = 7,911.95

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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.