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Finding the Fourth Proportional to 8,715.44, 12,029.06 and 5,177.97

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Solution

The fourth proportional to 8,715.44, 12,029.06 and 5,177.97 is: 7,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.44 : 12,029.06 = 5,177.97 : x
  2. Step 2: Convert to fraction form
    8,715.44/12,029.06 = 5,177.97/x
  3. Step 3: Cross multiply
    8,715.44x = 12,029.06 × 5,177.97
  4. Step 4: Simplify right side
    8,715.44x = 62,286,085.92
  5. Step 5: Solve for x
    x = 62,286,085.92/8,715.44
  6. Step 6: Final answer
    x = 7,146.64

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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.