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Finding the Fourth Proportional to 11,916.69, 16,445.82 and 6,881.13

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Solution

The fourth proportional to 11,916.69, 16,445.82 and 6,881.13 is: 9,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.69 : 16,445.82 = 6,881.13 : x
  2. Step 2: Convert to fraction form
    11,916.69/16,445.82 = 6,881.13/x
  3. Step 3: Cross multiply
    11,916.69x = 16,445.82 × 6,881.13
  4. Step 4: Simplify right side
    11,916.69x = 113,165,825.38
  5. Step 5: Solve for x
    x = 113,165,825.38/11,916.69
  6. Step 6: Final answer
    x = 9,496.41

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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.