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Finding the Fourth Proportional to 7,234.40, 10,834.72 and 5,577.76

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Solution

The fourth proportional to 7,234.40, 10,834.72 and 5,577.76 is: 8,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.40 : 10,834.72 = 5,577.76 : x
  2. Step 2: Convert to fraction form
    7,234.40/10,834.72 = 5,577.76/x
  3. Step 3: Cross multiply
    7,234.40x = 10,834.72 × 5,577.76
  4. Step 4: Simplify right side
    7,234.40x = 60,433,467.83
  5. Step 5: Solve for x
    x = 60,433,467.83/7,234.40
  6. Step 6: Final answer
    x = 8,353.63

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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.