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Finding the Fourth Proportional to 12,511.92, 17,258.31 and 8,028.57

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Solution

The fourth proportional to 12,511.92, 17,258.31 and 8,028.57 is: 11,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.92 : 17,258.31 = 8,028.57 : x
  2. Step 2: Convert to fraction form
    12,511.92/17,258.31 = 8,028.57/x
  3. Step 3: Cross multiply
    12,511.92x = 17,258.31 × 8,028.57
  4. Step 4: Simplify right side
    12,511.92x = 138,559,549.92
  5. Step 5: Solve for x
    x = 138,559,549.92/12,511.92
  6. Step 6: Final answer
    x = 11,074.20

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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.