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Finding the Fourth Proportional to 8,615.97, 12,917.61 and 3,682.53

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Solution

The fourth proportional to 8,615.97, 12,917.61 and 3,682.53 is: 5,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.97 : 12,917.61 = 3,682.53 : x
  2. Step 2: Convert to fraction form
    8,615.97/12,917.61 = 3,682.53/x
  3. Step 3: Cross multiply
    8,615.97x = 12,917.61 × 3,682.53
  4. Step 4: Simplify right side
    8,615.97x = 47,569,486.35
  5. Step 5: Solve for x
    x = 47,569,486.35/8,615.97
  6. Step 6: Final answer
    x = 5,521.08

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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.