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Finding the Fourth Proportional to 7,634.14, 11,510.08 and 7,586.75

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Solution

The fourth proportional to 7,634.14, 11,510.08 and 7,586.75 is: 11,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.14 : 11,510.08 = 7,586.75 : x
  2. Step 2: Convert to fraction form
    7,634.14/11,510.08 = 7,586.75/x
  3. Step 3: Cross multiply
    7,634.14x = 11,510.08 × 7,586.75
  4. Step 4: Simplify right side
    7,634.14x = 87,324,109.25
  5. Step 5: Solve for x
    x = 87,324,109.25/7,634.14
  6. Step 6: Final answer
    x = 11,438.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.