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Finding the Fourth Proportional to 8,395.12, 12,593 and 2,551.58

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Solution

The fourth proportional to 8,395.12, 12,593 and 2,551.58 is: 3,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.12 : 12,593 = 2,551.58 : x
  2. Step 2: Convert to fraction form
    8,395.12/12,593 = 2,551.58/x
  3. Step 3: Cross multiply
    8,395.12x = 12,593 × 2,551.58
  4. Step 4: Simplify right side
    8,395.12x = 32,132,046.94
  5. Step 5: Solve for x
    x = 32,132,046.94/8,395.12
  6. Step 6: Final answer
    x = 3,827.47

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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.