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Finding the Fourth Proportional to 7,695.65, 11,536.49 and 3,993.55

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Solution

The fourth proportional to 7,695.65, 11,536.49 and 3,993.55 is: 5,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.65 : 11,536.49 = 3,993.55 : x
  2. Step 2: Convert to fraction form
    7,695.65/11,536.49 = 3,993.55/x
  3. Step 3: Cross multiply
    7,695.65x = 11,536.49 × 3,993.55
  4. Step 4: Simplify right side
    7,695.65x = 46,071,530.78
  5. Step 5: Solve for x
    x = 46,071,530.78/7,695.65
  6. Step 6: Final answer
    x = 5,986.70

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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.