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Finding the Fourth Proportional to 7,209.70, 10,820.94 and 3,702.16

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Solution

The fourth proportional to 7,209.70, 10,820.94 and 3,702.16 is: 5,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.70 : 10,820.94 = 3,702.16 : x
  2. Step 2: Convert to fraction form
    7,209.70/10,820.94 = 3,702.16/x
  3. Step 3: Cross multiply
    7,209.70x = 10,820.94 × 3,702.16
  4. Step 4: Simplify right side
    7,209.70x = 40,060,778.61
  5. Step 5: Solve for x
    x = 40,060,778.61/7,209.70
  6. Step 6: Final answer
    x = 5,556.52

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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.