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Finding the Fourth Proportional to 7,642.44, 11,463.68 and 2,095.84

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Solution

The fourth proportional to 7,642.44, 11,463.68 and 2,095.84 is: 3,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.44 : 11,463.68 = 2,095.84 : x
  2. Step 2: Convert to fraction form
    7,642.44/11,463.68 = 2,095.84/x
  3. Step 3: Cross multiply
    7,642.44x = 11,463.68 × 2,095.84
  4. Step 4: Simplify right side
    7,642.44x = 24,026,039.09
  5. Step 5: Solve for x
    x = 24,026,039.09/7,642.44
  6. Step 6: Final answer
    x = 3,143.77

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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.