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Finding the Fourth Proportional to 8,296.91, 12,445.36 and 2,374.41

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Solution

The fourth proportional to 8,296.91, 12,445.36 and 2,374.41 is: 3,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.91 : 12,445.36 = 2,374.41 : x
  2. Step 2: Convert to fraction form
    8,296.91/12,445.36 = 2,374.41/x
  3. Step 3: Cross multiply
    8,296.91x = 12,445.36 × 2,374.41
  4. Step 4: Simplify right side
    8,296.91x = 29,550,387.24
  5. Step 5: Solve for x
    x = 29,550,387.24/8,296.91
  6. Step 6: Final answer
    x = 3,561.61

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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.