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Finding the Fourth Proportional to 8,580.32, 12,841.26 and 7,195.22

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Solution

The fourth proportional to 8,580.32, 12,841.26 and 7,195.22 is: 10,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.32 : 12,841.26 = 7,195.22 : x
  2. Step 2: Convert to fraction form
    8,580.32/12,841.26 = 7,195.22/x
  3. Step 3: Cross multiply
    8,580.32x = 12,841.26 × 7,195.22
  4. Step 4: Simplify right side
    8,580.32x = 92,395,690.78
  5. Step 5: Solve for x
    x = 92,395,690.78/8,580.32
  6. Step 6: Final answer
    x = 10,768.33

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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.