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Finding the Fourth Proportional to 8,506.28, 12,758.73 and 5,377.16

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Solution

The fourth proportional to 8,506.28, 12,758.73 and 5,377.16 is: 8,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.28 : 12,758.73 = 5,377.16 : x
  2. Step 2: Convert to fraction form
    8,506.28/12,758.73 = 5,377.16/x
  3. Step 3: Cross multiply
    8,506.28x = 12,758.73 × 5,377.16
  4. Step 4: Simplify right side
    8,506.28x = 68,605,732.61
  5. Step 5: Solve for x
    x = 68,605,732.61/8,506.28
  6. Step 6: Final answer
    x = 8,065.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.