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Finding the Fourth Proportional to 7,645.65, 11,474.01 and 2,715.33

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Solution

The fourth proportional to 7,645.65, 11,474.01 and 2,715.33 is: 4,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.65 : 11,474.01 = 2,715.33 : x
  2. Step 2: Convert to fraction form
    7,645.65/11,474.01 = 2,715.33/x
  3. Step 3: Cross multiply
    7,645.65x = 11,474.01 × 2,715.33
  4. Step 4: Simplify right side
    7,645.65x = 31,155,723.57
  5. Step 5: Solve for x
    x = 31,155,723.57/7,645.65
  6. Step 6: Final answer
    x = 4,074.96

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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.