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Finding the Fourth Proportional to 11,882.34, 16,397.97 and 6,577.65

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Solution

The fourth proportional to 11,882.34, 16,397.97 and 6,577.65 is: 9,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.34 : 16,397.97 = 6,577.65 : x
  2. Step 2: Convert to fraction form
    11,882.34/16,397.97 = 6,577.65/x
  3. Step 3: Cross multiply
    11,882.34x = 16,397.97 × 6,577.65
  4. Step 4: Simplify right side
    11,882.34x = 107,860,025.38
  5. Step 5: Solve for x
    x = 107,860,025.38/11,882.34
  6. Step 6: Final answer
    x = 9,077.34

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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.