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Finding the Fourth Proportional to 8,385.68, 12,578.30 and 2,145.71

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Solution

The fourth proportional to 8,385.68, 12,578.30 and 2,145.71 is: 3,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.68 : 12,578.30 = 2,145.71 : x
  2. Step 2: Convert to fraction form
    8,385.68/12,578.30 = 2,145.71/x
  3. Step 3: Cross multiply
    8,385.68x = 12,578.30 × 2,145.71
  4. Step 4: Simplify right side
    8,385.68x = 26,989,326.57
  5. Step 5: Solve for x
    x = 26,989,326.57/8,385.68
  6. Step 6: Final answer
    x = 3,218.50

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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.