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Finding the Fourth Proportional to 8,195.34, 12,291.95 and 2,648.13

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Solution

The fourth proportional to 8,195.34, 12,291.95 and 2,648.13 is: 3,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.34 : 12,291.95 = 2,648.13 : x
  2. Step 2: Convert to fraction form
    8,195.34/12,291.95 = 2,648.13/x
  3. Step 3: Cross multiply
    8,195.34x = 12,291.95 × 2,648.13
  4. Step 4: Simplify right side
    8,195.34x = 32,550,642.08
  5. Step 5: Solve for x
    x = 32,550,642.08/8,195.34
  6. Step 6: Final answer
    x = 3,971.85

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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.