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Finding the Fourth Proportional to 11,802.96, 17,702.46 and 3,482.82

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Solution

The fourth proportional to 11,802.96, 17,702.46 and 3,482.82 is: 5,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.96 : 17,702.46 = 3,482.82 : x
  2. Step 2: Convert to fraction form
    11,802.96/17,702.46 = 3,482.82/x
  3. Step 3: Cross multiply
    11,802.96x = 17,702.46 × 3,482.82
  4. Step 4: Simplify right side
    11,802.96x = 61,654,481.74
  5. Step 5: Solve for x
    x = 61,654,481.74/11,802.96
  6. Step 6: Final answer
    x = 5,223.65

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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.