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Finding the Fourth Proportional to 7,213.50, 10,820.18 and 2,283.14

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Solution

The fourth proportional to 7,213.50, 10,820.18 and 2,283.14 is: 3,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.50 : 10,820.18 = 2,283.14 : x
  2. Step 2: Convert to fraction form
    7,213.50/10,820.18 = 2,283.14/x
  3. Step 3: Cross multiply
    7,213.50x = 10,820.18 × 2,283.14
  4. Step 4: Simplify right side
    7,213.50x = 24,703,985.77
  5. Step 5: Solve for x
    x = 24,703,985.77/7,213.50
  6. Step 6: Final answer
    x = 3,424.69

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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.