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Finding the Fourth Proportional to 11,367.78, 15,657.18 and 9,877.38

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Solution

The fourth proportional to 11,367.78, 15,657.18 and 9,877.38 is: 13,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.78 : 15,657.18 = 9,877.38 : x
  2. Step 2: Convert to fraction form
    11,367.78/15,657.18 = 9,877.38/x
  3. Step 3: Cross multiply
    11,367.78x = 15,657.18 × 9,877.38
  4. Step 4: Simplify right side
    11,367.78x = 154,651,916.59
  5. Step 5: Solve for x
    x = 154,651,916.59/11,367.78
  6. Step 6: Final answer
    x = 13,604.41

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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.