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Finding the Fourth Proportional to 8,715.76, 12,028.77 and 5,178.97

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Solution

The fourth proportional to 8,715.76, 12,028.77 and 5,178.97 is: 7,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.76 : 12,028.77 = 5,178.97 : x
  2. Step 2: Convert to fraction form
    8,715.76/12,028.77 = 5,178.97/x
  3. Step 3: Cross multiply
    8,715.76x = 12,028.77 × 5,178.97
  4. Step 4: Simplify right side
    8,715.76x = 62,296,638.97
  5. Step 5: Solve for x
    x = 62,296,638.97/8,715.76
  6. Step 6: Final answer
    x = 7,147.59

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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.