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Finding the Fourth Proportional to 6,927.84, 10,391.68 and 2,545.24

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Solution

The fourth proportional to 6,927.84, 10,391.68 and 2,545.24 is: 3,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.84 : 10,391.68 = 2,545.24 : x
  2. Step 2: Convert to fraction form
    6,927.84/10,391.68 = 2,545.24/x
  3. Step 3: Cross multiply
    6,927.84x = 10,391.68 × 2,545.24
  4. Step 4: Simplify right side
    6,927.84x = 26,449,319.60
  5. Step 5: Solve for x
    x = 26,449,319.60/6,927.84
  6. Step 6: Final answer
    x = 3,817.83

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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.