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Finding the Fourth Proportional to 7,658.07, 11,486.01 and 2,463.27

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Solution

The fourth proportional to 7,658.07, 11,486.01 and 2,463.27 is: 3,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.07 : 11,486.01 = 2,463.27 : x
  2. Step 2: Convert to fraction form
    7,658.07/11,486.01 = 2,463.27/x
  3. Step 3: Cross multiply
    7,658.07x = 11,486.01 × 2,463.27
  4. Step 4: Simplify right side
    7,658.07x = 28,293,143.85
  5. Step 5: Solve for x
    x = 28,293,143.85/7,658.07
  6. Step 6: Final answer
    x = 3,694.55

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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.