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Finding the Fourth Proportional to 12,891.16, 17,788.50 and 7,512.76

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Solution

The fourth proportional to 12,891.16, 17,788.50 and 7,512.76 is: 10,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.16 : 17,788.50 = 7,512.76 : x
  2. Step 2: Convert to fraction form
    12,891.16/17,788.50 = 7,512.76/x
  3. Step 3: Cross multiply
    12,891.16x = 17,788.50 × 7,512.76
  4. Step 4: Simplify right side
    12,891.16x = 133,640,731.26
  5. Step 5: Solve for x
    x = 133,640,731.26/12,891.16
  6. Step 6: Final answer
    x = 10,366.85

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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.