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Finding the Fourth Proportional to 7,202.33, 10,802.58 and 2,822.86

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Solution

The fourth proportional to 7,202.33, 10,802.58 and 2,822.86 is: 4,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.33 : 10,802.58 = 2,822.86 : x
  2. Step 2: Convert to fraction form
    7,202.33/10,802.58 = 2,822.86/x
  3. Step 3: Cross multiply
    7,202.33x = 10,802.58 × 2,822.86
  4. Step 4: Simplify right side
    7,202.33x = 30,494,170.98
  5. Step 5: Solve for x
    x = 30,494,170.98/7,202.33
  6. Step 6: Final answer
    x = 4,233.93

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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.