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Finding the Fourth Proportional to 12,757.68, 17,608.32 and 8,046.72

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Solution

The fourth proportional to 12,757.68, 17,608.32 and 8,046.72 is: 11,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.68 : 17,608.32 = 8,046.72 : x
  2. Step 2: Convert to fraction form
    12,757.68/17,608.32 = 8,046.72/x
  3. Step 3: Cross multiply
    12,757.68x = 17,608.32 × 8,046.72
  4. Step 4: Simplify right side
    12,757.68x = 141,689,220.71
  5. Step 5: Solve for x
    x = 141,689,220.71/12,757.68
  6. Step 6: Final answer
    x = 11,106.19

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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.