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Finding the Fourth Proportional to 8,191.59, 12,287.35 and 2,348.16

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Solution

The fourth proportional to 8,191.59, 12,287.35 and 2,348.16 is: 3,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.59 : 12,287.35 = 2,348.16 : x
  2. Step 2: Convert to fraction form
    8,191.59/12,287.35 = 2,348.16/x
  3. Step 3: Cross multiply
    8,191.59x = 12,287.35 × 2,348.16
  4. Step 4: Simplify right side
    8,191.59x = 28,852,663.78
  5. Step 5: Solve for x
    x = 28,852,663.78/8,191.59
  6. Step 6: Final answer
    x = 3,522.23

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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.