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Finding the Fourth Proportional to 7,234.40, 10,854.03 and 2,852.30

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Solution

The fourth proportional to 7,234.40, 10,854.03 and 2,852.30 is: 4,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.40 : 10,854.03 = 2,852.30 : x
  2. Step 2: Convert to fraction form
    7,234.40/10,854.03 = 2,852.30/x
  3. Step 3: Cross multiply
    7,234.40x = 10,854.03 × 2,852.30
  4. Step 4: Simplify right side
    7,234.40x = 30,958,949.77
  5. Step 5: Solve for x
    x = 30,958,949.77/7,234.40
  6. Step 6: Final answer
    x = 4,279.41

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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.