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Finding the Fourth Proportional to 11,758.77, 16,221.32 and 8,567.10

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Solution

The fourth proportional to 11,758.77, 16,221.32 and 8,567.10 is: 11,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.77 : 16,221.32 = 8,567.10 : x
  2. Step 2: Convert to fraction form
    11,758.77/16,221.32 = 8,567.10/x
  3. Step 3: Cross multiply
    11,758.77x = 16,221.32 × 8,567.10
  4. Step 4: Simplify right side
    11,758.77x = 138,969,546.63
  5. Step 5: Solve for x
    x = 138,969,546.63/11,758.77
  6. Step 6: Final answer
    x = 11,818.38

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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.