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Finding the Fourth Proportional to 12,535.92, 17,291.34 and 8,052.57

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Solution

The fourth proportional to 12,535.92, 17,291.34 and 8,052.57 is: 11,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.92 : 17,291.34 = 8,052.57 : x
  2. Step 2: Convert to fraction form
    12,535.92/17,291.34 = 8,052.57/x
  3. Step 3: Cross multiply
    12,535.92x = 17,291.34 × 8,052.57
  4. Step 4: Simplify right side
    12,535.92x = 139,239,725.74
  5. Step 5: Solve for x
    x = 139,239,725.74/12,535.92
  6. Step 6: Final answer
    x = 11,107.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.