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Finding the Fourth Proportional to 8,186.79, 12,280.27 and 4,487

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Solution

The fourth proportional to 8,186.79, 12,280.27 and 4,487 is: 6,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.79 : 12,280.27 = 4,487 : x
  2. Step 2: Convert to fraction form
    8,186.79/12,280.27 = 4,487/x
  3. Step 3: Cross multiply
    8,186.79x = 12,280.27 × 4,487
  4. Step 4: Simplify right side
    8,186.79x = 55,101,571.49
  5. Step 5: Solve for x
    x = 55,101,571.49/8,186.79
  6. Step 6: Final answer
    x = 6,730.55

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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.