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Finding the Fourth Proportional to 11,702.65, 17,550.66 and 3,267.22

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Solution

The fourth proportional to 11,702.65, 17,550.66 and 3,267.22 is: 4,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.65 : 17,550.66 = 3,267.22 : x
  2. Step 2: Convert to fraction form
    11,702.65/17,550.66 = 3,267.22/x
  3. Step 3: Cross multiply
    11,702.65x = 17,550.66 × 3,267.22
  4. Step 4: Simplify right side
    11,702.65x = 57,341,867.37
  5. Step 5: Solve for x
    x = 57,341,867.37/11,702.65
  6. Step 6: Final answer
    x = 4,899.90

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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.