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Finding the Fourth Proportional to 12,580.35, 17,360.52 and 7,202.61

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Solution

The fourth proportional to 12,580.35, 17,360.52 and 7,202.61 is: 9,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.35 : 17,360.52 = 7,202.61 : x
  2. Step 2: Convert to fraction form
    12,580.35/17,360.52 = 7,202.61/x
  3. Step 3: Cross multiply
    12,580.35x = 17,360.52 × 7,202.61
  4. Step 4: Simplify right side
    12,580.35x = 125,040,932.14
  5. Step 5: Solve for x
    x = 125,040,932.14/12,580.35
  6. Step 6: Final answer
    x = 9,939.38

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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.