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Finding the Fourth Proportional to 10,951.44, 16,411.74 and 6,264.42

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Solution

The fourth proportional to 10,951.44, 16,411.74 and 6,264.42 is: 9,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.44 : 16,411.74 = 6,264.42 : x
  2. Step 2: Convert to fraction form
    10,951.44/16,411.74 = 6,264.42/x
  3. Step 3: Cross multiply
    10,951.44x = 16,411.74 × 6,264.42
  4. Step 4: Simplify right side
    10,951.44x = 102,810,032.29
  5. Step 5: Solve for x
    x = 102,810,032.29/10,951.44
  6. Step 6: Final answer
    x = 9,387.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.