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Finding the Fourth Proportional to 7,642.14, 11,463.16 and 2,095.05

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Solution

The fourth proportional to 7,642.14, 11,463.16 and 2,095.05 is: 3,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.14 : 11,463.16 = 2,095.05 : x
  2. Step 2: Convert to fraction form
    7,642.14/11,463.16 = 2,095.05/x
  3. Step 3: Cross multiply
    7,642.14x = 11,463.16 × 2,095.05
  4. Step 4: Simplify right side
    7,642.14x = 24,015,893.36
  5. Step 5: Solve for x
    x = 24,015,893.36/7,642.14
  6. Step 6: Final answer
    x = 3,142.56

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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.