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Finding the Fourth Proportional to 11,168.30, 15,411.71 and 6,454.10

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Solution

The fourth proportional to 11,168.30, 15,411.71 and 6,454.10 is: 8,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168.30 : 15,411.71 = 6,454.10 : x
  2. Step 2: Convert to fraction form
    11,168.30/15,411.71 = 6,454.10/x
  3. Step 3: Cross multiply
    11,168.30x = 15,411.71 × 6,454.10
  4. Step 4: Simplify right side
    11,168.30x = 99,468,608.18
  5. Step 5: Solve for x
    x = 99,468,608.18/11,168.30
  6. Step 6: Final answer
    x = 8,906.34

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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.