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Finding the Fourth Proportional to 7,225.98, 10,840.34 and 2,294.30

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Solution

The fourth proportional to 7,225.98, 10,840.34 and 2,294.30 is: 3,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.98 : 10,840.34 = 2,294.30 : x
  2. Step 2: Convert to fraction form
    7,225.98/10,840.34 = 2,294.30/x
  3. Step 3: Cross multiply
    7,225.98x = 10,840.34 × 2,294.30
  4. Step 4: Simplify right side
    7,225.98x = 24,870,992.06
  5. Step 5: Solve for x
    x = 24,870,992.06/7,225.98
  6. Step 6: Final answer
    x = 3,441.88

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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.