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Finding the Fourth Proportional to 8,452.36, 12,677.82 and 2,296.36

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Solution

The fourth proportional to 8,452.36, 12,677.82 and 2,296.36 is: 3,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.36 : 12,677.82 = 2,296.36 : x
  2. Step 2: Convert to fraction form
    8,452.36/12,677.82 = 2,296.36/x
  3. Step 3: Cross multiply
    8,452.36x = 12,677.82 × 2,296.36
  4. Step 4: Simplify right side
    8,452.36x = 29,112,838.74
  5. Step 5: Solve for x
    x = 29,112,838.74/8,452.36
  6. Step 6: Final answer
    x = 3,444.34

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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.