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Finding the Fourth Proportional to 7,753.65, 11,611.97 and 4,238.38

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Solution

The fourth proportional to 7,753.65, 11,611.97 and 4,238.38 is: 6,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.65 : 11,611.97 = 4,238.38 : x
  2. Step 2: Convert to fraction form
    7,753.65/11,611.97 = 4,238.38/x
  3. Step 3: Cross multiply
    7,753.65x = 11,611.97 × 4,238.38
  4. Step 4: Simplify right side
    7,753.65x = 49,215,941.41
  5. Step 5: Solve for x
    x = 49,215,941.41/7,753.65
  6. Step 6: Final answer
    x = 6,347.45

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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.