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Finding the Fourth Proportional to 11,918.19, 16,447.10 and 6,540.66

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Solution

The fourth proportional to 11,918.19, 16,447.10 and 6,540.66 is: 9,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.19 : 16,447.10 = 6,540.66 : x
  2. Step 2: Convert to fraction form
    11,918.19/16,447.10 = 6,540.66/x
  3. Step 3: Cross multiply
    11,918.19x = 16,447.10 × 6,540.66
  4. Step 4: Simplify right side
    11,918.19x = 107,574,856.38
  5. Step 5: Solve for x
    x = 107,574,856.38/11,918.19
  6. Step 6: Final answer
    x = 9,026.11

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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.