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Finding the Fourth Proportional to 7,233.90, 10,852.20 and 2,302.17

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Solution

The fourth proportional to 7,233.90, 10,852.20 and 2,302.17 is: 3,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.90 : 10,852.20 = 2,302.17 : x
  2. Step 2: Convert to fraction form
    7,233.90/10,852.20 = 2,302.17/x
  3. Step 3: Cross multiply
    7,233.90x = 10,852.20 × 2,302.17
  4. Step 4: Simplify right side
    7,233.90x = 24,983,609.27
  5. Step 5: Solve for x
    x = 24,983,609.27/7,233.90
  6. Step 6: Final answer
    x = 3,453.68

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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.