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Finding the Fourth Proportional to 8,569.98, 12,855.14 and 3,023.21

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Solution

The fourth proportional to 8,569.98, 12,855.14 and 3,023.21 is: 4,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.98 : 12,855.14 = 3,023.21 : x
  2. Step 2: Convert to fraction form
    8,569.98/12,855.14 = 3,023.21/x
  3. Step 3: Cross multiply
    8,569.98x = 12,855.14 × 3,023.21
  4. Step 4: Simplify right side
    8,569.98x = 38,863,708.41
  5. Step 5: Solve for x
    x = 38,863,708.41/8,569.98
  6. Step 6: Final answer
    x = 4,534.87

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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.