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Finding the Fourth Proportional to 7,641.74, 11,462.62 and 2,095.16

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Solution

The fourth proportional to 7,641.74, 11,462.62 and 2,095.16 is: 3,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.74 : 11,462.62 = 2,095.16 : x
  2. Step 2: Convert to fraction form
    7,641.74/11,462.62 = 2,095.16/x
  3. Step 3: Cross multiply
    7,641.74x = 11,462.62 × 2,095.16
  4. Step 4: Simplify right side
    7,641.74x = 24,016,022.92
  5. Step 5: Solve for x
    x = 24,016,022.92/7,641.74
  6. Step 6: Final answer
    x = 3,142.74

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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.