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Finding the Fourth Proportional to 8,644.39, 12,966.80 and 3,098.12

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Solution

The fourth proportional to 8,644.39, 12,966.80 and 3,098.12 is: 4,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.39 : 12,966.80 = 3,098.12 : x
  2. Step 2: Convert to fraction form
    8,644.39/12,966.80 = 3,098.12/x
  3. Step 3: Cross multiply
    8,644.39x = 12,966.80 × 3,098.12
  4. Step 4: Simplify right side
    8,644.39x = 40,172,622.09
  5. Step 5: Solve for x
    x = 40,172,622.09/8,644.39
  6. Step 6: Final answer
    x = 4,647.25

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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.