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Finding the Fourth Proportional to 11,874.66, 16,385.91 and 6,569.37

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Solution

The fourth proportional to 11,874.66, 16,385.91 and 6,569.37 is: 9,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.66 : 16,385.91 = 6,569.37 : x
  2. Step 2: Convert to fraction form
    11,874.66/16,385.91 = 6,569.37/x
  3. Step 3: Cross multiply
    11,874.66x = 16,385.91 × 6,569.37
  4. Step 4: Simplify right side
    11,874.66x = 107,645,105.58
  5. Step 5: Solve for x
    x = 107,645,105.58/11,874.66
  6. Step 6: Final answer
    x = 9,065.11

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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.