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Finding the Fourth Proportional to 7,642.60, 11,463.51 and 2,095.54

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Solution

The fourth proportional to 7,642.60, 11,463.51 and 2,095.54 is: 3,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.60 : 11,463.51 = 2,095.54 : x
  2. Step 2: Convert to fraction form
    7,642.60/11,463.51 = 2,095.54/x
  3. Step 3: Cross multiply
    7,642.60x = 11,463.51 × 2,095.54
  4. Step 4: Simplify right side
    7,642.60x = 24,022,243.75
  5. Step 5: Solve for x
    x = 24,022,243.75/7,642.60
  6. Step 6: Final answer
    x = 3,143.20

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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.