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Finding the Fourth Proportional to 7,234.16, 10,846.92 and 3,539.12

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Solution

The fourth proportional to 7,234.16, 10,846.92 and 3,539.12 is: 5,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.16 : 10,846.92 = 3,539.12 : x
  2. Step 2: Convert to fraction form
    7,234.16/10,846.92 = 3,539.12/x
  3. Step 3: Cross multiply
    7,234.16x = 10,846.92 × 3,539.12
  4. Step 4: Simplify right side
    7,234.16x = 38,388,551.51
  5. Step 5: Solve for x
    x = 38,388,551.51/7,234.16
  6. Step 6: Final answer
    x = 5,306.57

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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.