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Finding the Fourth Proportional to 7,642.55, 11,463.44 and 2,095.80

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Solution

The fourth proportional to 7,642.55, 11,463.44 and 2,095.80 is: 3,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.55 : 11,463.44 = 2,095.80 : x
  2. Step 2: Convert to fraction form
    7,642.55/11,463.44 = 2,095.80/x
  3. Step 3: Cross multiply
    7,642.55x = 11,463.44 × 2,095.80
  4. Step 4: Simplify right side
    7,642.55x = 24,025,067.07
  5. Step 5: Solve for x
    x = 24,025,067.07/7,642.55
  6. Step 6: Final answer
    x = 3,143.60

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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.