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Finding the Fourth Proportional to 11,161.53, 16,746.65 and 4,917.15

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Solution

The fourth proportional to 11,161.53, 16,746.65 and 4,917.15 is: 7,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.53 : 16,746.65 = 4,917.15 : x
  2. Step 2: Convert to fraction form
    11,161.53/16,746.65 = 4,917.15/x
  3. Step 3: Cross multiply
    11,161.53x = 16,746.65 × 4,917.15
  4. Step 4: Simplify right side
    11,161.53x = 82,345,790.05
  5. Step 5: Solve for x
    x = 82,345,790.05/11,161.53
  6. Step 6: Final answer
    x = 7,377.64

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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.