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Finding the Fourth Proportional to 8,188.50, 12,282.48 and 2,642.16

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Solution

The fourth proportional to 8,188.50, 12,282.48 and 2,642.16 is: 3,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.50 : 12,282.48 = 2,642.16 : x
  2. Step 2: Convert to fraction form
    8,188.50/12,282.48 = 2,642.16/x
  3. Step 3: Cross multiply
    8,188.50x = 12,282.48 × 2,642.16
  4. Step 4: Simplify right side
    8,188.50x = 32,452,277.36
  5. Step 5: Solve for x
    x = 32,452,277.36/8,188.50
  6. Step 6: Final answer
    x = 3,963.15

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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.