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Finding the Fourth Proportional to 12,867.55, 17,755.72 and 7,202.61

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Solution

The fourth proportional to 12,867.55, 17,755.72 and 7,202.61 is: 9,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.55 : 17,755.72 = 7,202.61 : x
  2. Step 2: Convert to fraction form
    12,867.55/17,755.72 = 7,202.61/x
  3. Step 3: Cross multiply
    12,867.55x = 17,755.72 × 7,202.61
  4. Step 4: Simplify right side
    12,867.55x = 127,887,526.43
  5. Step 5: Solve for x
    x = 127,887,526.43/12,867.55
  6. Step 6: Final answer
    x = 9,938.77

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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.