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Finding the Fourth Proportional to 11,153.32, 15,382.98 and 8,168.08

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Solution

The fourth proportional to 11,153.32, 15,382.98 and 8,168.08 is: 11,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.32 : 15,382.98 = 8,168.08 : x
  2. Step 2: Convert to fraction form
    11,153.32/15,382.98 = 8,168.08/x
  3. Step 3: Cross multiply
    11,153.32x = 15,382.98 × 8,168.08
  4. Step 4: Simplify right side
    11,153.32x = 125,649,411.28
  5. Step 5: Solve for x
    x = 125,649,411.28/11,153.32
  6. Step 6: Final answer
    x = 11,265.65

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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.