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Finding the Fourth Proportional to 11,673.38, 16,108.91 and 6,569.18

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Solution

The fourth proportional to 11,673.38, 16,108.91 and 6,569.18 is: 9,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.38 : 16,108.91 = 6,569.18 : x
  2. Step 2: Convert to fraction form
    11,673.38/16,108.91 = 6,569.18/x
  3. Step 3: Cross multiply
    11,673.38x = 16,108.91 × 6,569.18
  4. Step 4: Simplify right side
    11,673.38x = 105,822,301.05
  5. Step 5: Solve for x
    x = 105,822,301.05/11,673.38
  6. Step 6: Final answer
    x = 9,065.27

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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.