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Finding the Fourth Proportional to 8,564.91, 12,854.67 and 3,374.43

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Solution

The fourth proportional to 8,564.91, 12,854.67 and 3,374.43 is: 5,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.91 : 12,854.67 = 3,374.43 : x
  2. Step 2: Convert to fraction form
    8,564.91/12,854.67 = 3,374.43/x
  3. Step 3: Cross multiply
    8,564.91x = 12,854.67 × 3,374.43
  4. Step 4: Simplify right side
    8,564.91x = 43,377,184.09
  5. Step 5: Solve for x
    x = 43,377,184.09/8,564.91
  6. Step 6: Final answer
    x = 5,064.52

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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.