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Finding the Fourth Proportional to 11,678.02, 16,115.17 and 6,641.54

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Solution

The fourth proportional to 11,678.02, 16,115.17 and 6,641.54 is: 9,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.02 : 16,115.17 = 6,641.54 : x
  2. Step 2: Convert to fraction form
    11,678.02/16,115.17 = 6,641.54/x
  3. Step 3: Cross multiply
    11,678.02x = 16,115.17 × 6,641.54
  4. Step 4: Simplify right side
    11,678.02x = 107,029,432.38
  5. Step 5: Solve for x
    x = 107,029,432.38/11,678.02
  6. Step 6: Final answer
    x = 9,165.04

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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.