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Finding the Fourth Proportional to 7,202.40, 10,799.28 and 2,814.63

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Solution

The fourth proportional to 7,202.40, 10,799.28 and 2,814.63 is: 4,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.40 : 10,799.28 = 2,814.63 : x
  2. Step 2: Convert to fraction form
    7,202.40/10,799.28 = 2,814.63/x
  3. Step 3: Cross multiply
    7,202.40x = 10,799.28 × 2,814.63
  4. Step 4: Simplify right side
    7,202.40x = 30,395,977.47
  5. Step 5: Solve for x
    x = 30,395,977.47/7,202.40
  6. Step 6: Final answer
    x = 4,220.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.