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Finding the Fourth Proportional to 7,641.99, 11,463 and 2,095.41

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Solution

The fourth proportional to 7,641.99, 11,463 and 2,095.41 is: 3,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.99 : 11,463 = 2,095.41 : x
  2. Step 2: Convert to fraction form
    7,641.99/11,463 = 2,095.41/x
  3. Step 3: Cross multiply
    7,641.99x = 11,463 × 2,095.41
  4. Step 4: Simplify right side
    7,641.99x = 24,019,684.83
  5. Step 5: Solve for x
    x = 24,019,684.83/7,641.99
  6. Step 6: Final answer
    x = 3,143.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.