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Finding the Fourth Proportional to 11,799.88, 16,281.22 and 6,829

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Solution

The fourth proportional to 11,799.88, 16,281.22 and 6,829 is: 9,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.88 : 16,281.22 = 6,829 : x
  2. Step 2: Convert to fraction form
    11,799.88/16,281.22 = 6,829/x
  3. Step 3: Cross multiply
    11,799.88x = 16,281.22 × 6,829
  4. Step 4: Simplify right side
    11,799.88x = 111,184,451.38
  5. Step 5: Solve for x
    x = 111,184,451.38/11,799.88
  6. Step 6: Final answer
    x = 9,422.51

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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.