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Finding the Fourth Proportional to 7,213.60, 10,820.40 and 2,283.66

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Solution

The fourth proportional to 7,213.60, 10,820.40 and 2,283.66 is: 3,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.60 : 10,820.40 = 2,283.66 : x
  2. Step 2: Convert to fraction form
    7,213.60/10,820.40 = 2,283.66/x
  3. Step 3: Cross multiply
    7,213.60x = 10,820.40 × 2,283.66
  4. Step 4: Simplify right side
    7,213.60x = 24,710,114.66
  5. Step 5: Solve for x
    x = 24,710,114.66/7,213.60
  6. Step 6: Final answer
    x = 3,425.49

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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.