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Finding the Fourth Proportional to 12,977.16, 17,908.92 and 7,676.52

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Solution

The fourth proportional to 12,977.16, 17,908.92 and 7,676.52 is: 10,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.16 : 17,908.92 = 7,676.52 : x
  2. Step 2: Convert to fraction form
    12,977.16/17,908.92 = 7,676.52/x
  3. Step 3: Cross multiply
    12,977.16x = 17,908.92 × 7,676.52
  4. Step 4: Simplify right side
    12,977.16x = 137,478,182.56
  5. Step 5: Solve for x
    x = 137,478,182.56/12,977.16
  6. Step 6: Final answer
    x = 10,593.86

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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.