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Finding the Fourth Proportional to 8,112.26, 12,175.08 and 6,274.58

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Solution

The fourth proportional to 8,112.26, 12,175.08 and 6,274.58 is: 9,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.26 : 12,175.08 = 6,274.58 : x
  2. Step 2: Convert to fraction form
    8,112.26/12,175.08 = 6,274.58/x
  3. Step 3: Cross multiply
    8,112.26x = 12,175.08 × 6,274.58
  4. Step 4: Simplify right side
    8,112.26x = 76,393,513.47
  5. Step 5: Solve for x
    x = 76,393,513.47/8,112.26
  6. Step 6: Final answer
    x = 9,417.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.