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Finding the Fourth Proportional to 8,187.50, 12,280.98 and 2,641.16

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Solution

The fourth proportional to 8,187.50, 12,280.98 and 2,641.16 is: 3,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.50 : 12,280.98 = 2,641.16 : x
  2. Step 2: Convert to fraction form
    8,187.50/12,280.98 = 2,641.16/x
  3. Step 3: Cross multiply
    8,187.50x = 12,280.98 × 2,641.16
  4. Step 4: Simplify right side
    8,187.50x = 32,436,033.14
  5. Step 5: Solve for x
    x = 32,436,033.14/8,187.50
  6. Step 6: Final answer
    x = 3,961.65

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Why These Related Problems?

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