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Finding the Fourth Proportional to 8,440.57, 11,643.42 and 5,081.38

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Solution

The fourth proportional to 8,440.57, 11,643.42 and 5,081.38 is: 7,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.57 : 11,643.42 = 5,081.38 : x
  2. Step 2: Convert to fraction form
    8,440.57/11,643.42 = 5,081.38/x
  3. Step 3: Cross multiply
    8,440.57x = 11,643.42 × 5,081.38
  4. Step 4: Simplify right side
    8,440.57x = 59,164,641.52
  5. Step 5: Solve for x
    x = 59,164,641.52/8,440.57
  6. Step 6: Final answer
    x = 7,009.56

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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.