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Finding the Fourth Proportional to 7,440.68, 10,268.16 and 4,083.86

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Solution

The fourth proportional to 7,440.68, 10,268.16 and 4,083.86 is: 5,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.68 : 10,268.16 = 4,083.86 : x
  2. Step 2: Convert to fraction form
    7,440.68/10,268.16 = 4,083.86/x
  3. Step 3: Cross multiply
    7,440.68x = 10,268.16 × 4,083.86
  4. Step 4: Simplify right side
    7,440.68x = 41,933,730.38
  5. Step 5: Solve for x
    x = 41,933,730.38/7,440.68
  6. Step 6: Final answer
    x = 5,635.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.