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Finding the Fourth Proportional to 7,778.52, 11,665.26 and 2,583

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Solution

The fourth proportional to 7,778.52, 11,665.26 and 2,583 is: 3,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.52 : 11,665.26 = 2,583 : x
  2. Step 2: Convert to fraction form
    7,778.52/11,665.26 = 2,583/x
  3. Step 3: Cross multiply
    7,778.52x = 11,665.26 × 2,583
  4. Step 4: Simplify right side
    7,778.52x = 30,131,366.58
  5. Step 5: Solve for x
    x = 30,131,366.58/7,778.52
  6. Step 6: Final answer
    x = 3,873.66

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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.