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Finding the Fourth Proportional to 11,851.54, 16,354.90 and 6,546.71

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Solution

The fourth proportional to 11,851.54, 16,354.90 and 6,546.71 is: 9,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.54 : 16,354.90 = 6,546.71 : x
  2. Step 2: Convert to fraction form
    11,851.54/16,354.90 = 6,546.71/x
  3. Step 3: Cross multiply
    11,851.54x = 16,354.90 × 6,546.71
  4. Step 4: Simplify right side
    11,851.54x = 107,070,787.38
  5. Step 5: Solve for x
    x = 107,070,787.38/11,851.54
  6. Step 6: Final answer
    x = 9,034.34

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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.