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Finding the Fourth Proportional to 8,537.84, 12,808.23 and 2,614.58

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Solution

The fourth proportional to 8,537.84, 12,808.23 and 2,614.58 is: 3,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.84 : 12,808.23 = 2,614.58 : x
  2. Step 2: Convert to fraction form
    8,537.84/12,808.23 = 2,614.58/x
  3. Step 3: Cross multiply
    8,537.84x = 12,808.23 × 2,614.58
  4. Step 4: Simplify right side
    8,537.84x = 33,488,116.18
  5. Step 5: Solve for x
    x = 33,488,116.18/8,537.84
  6. Step 6: Final answer
    x = 3,922.32

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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.