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Finding the Fourth Proportional to 7,440.97, 10,268.58 and 4,083.82

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Solution

The fourth proportional to 7,440.97, 10,268.58 and 4,083.82 is: 5,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.97 : 10,268.58 = 4,083.82 : x
  2. Step 2: Convert to fraction form
    7,440.97/10,268.58 = 4,083.82/x
  3. Step 3: Cross multiply
    7,440.97x = 10,268.58 × 4,083.82
  4. Step 4: Simplify right side
    7,440.97x = 41,935,032.38
  5. Step 5: Solve for x
    x = 41,935,032.38/7,440.97
  6. Step 6: Final answer
    x = 5,635.69

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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.