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Finding the Fourth Proportional to 7,226.46, 10,840.05 and 2,296.47

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Solution

The fourth proportional to 7,226.46, 10,840.05 and 2,296.47 is: 3,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.46 : 10,840.05 = 2,296.47 : x
  2. Step 2: Convert to fraction form
    7,226.46/10,840.05 = 2,296.47/x
  3. Step 3: Cross multiply
    7,226.46x = 10,840.05 × 2,296.47
  4. Step 4: Simplify right side
    7,226.46x = 24,893,849.62
  5. Step 5: Solve for x
    x = 24,893,849.62/7,226.46
  6. Step 6: Final answer
    x = 3,444.82

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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.