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Finding the Fourth Proportional to 8,459.88, 11,679.92 and 5,436.22

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Solution

The fourth proportional to 8,459.88, 11,679.92 and 5,436.22 is: 7,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.88 : 11,679.92 = 5,436.22 : x
  2. Step 2: Convert to fraction form
    8,459.88/11,679.92 = 5,436.22/x
  3. Step 3: Cross multiply
    8,459.88x = 11,679.92 × 5,436.22
  4. Step 4: Simplify right side
    8,459.88x = 63,494,628.29
  5. Step 5: Solve for x
    x = 63,494,628.29/8,459.88
  6. Step 6: Final answer
    x = 7,505.39

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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.