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Finding the Fourth Proportional to 8,510.39, 12,766.61 and 3,578.71

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Solution

The fourth proportional to 8,510.39, 12,766.61 and 3,578.71 is: 5,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.39 : 12,766.61 = 3,578.71 : x
  2. Step 2: Convert to fraction form
    8,510.39/12,766.61 = 3,578.71/x
  3. Step 3: Cross multiply
    8,510.39x = 12,766.61 × 3,578.71
  4. Step 4: Simplify right side
    8,510.39x = 45,687,959.93
  5. Step 5: Solve for x
    x = 45,687,959.93/8,510.39
  6. Step 6: Final answer
    x = 5,368.49

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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.