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Finding the Fourth Proportional to 8,191.71, 12,287.39 and 2,348.37

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Solution

The fourth proportional to 8,191.71, 12,287.39 and 2,348.37 is: 3,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.71 : 12,287.39 = 2,348.37 : x
  2. Step 2: Convert to fraction form
    8,191.71/12,287.39 = 2,348.37/x
  3. Step 3: Cross multiply
    8,191.71x = 12,287.39 × 2,348.37
  4. Step 4: Simplify right side
    8,191.71x = 28,855,326.31
  5. Step 5: Solve for x
    x = 28,855,326.31/8,191.71
  6. Step 6: Final answer
    x = 3,522.50

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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.