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Finding the Fourth Proportional to 7,218.92, 10,830.30 and 2,288.66

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Solution

The fourth proportional to 7,218.92, 10,830.30 and 2,288.66 is: 3,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.92 : 10,830.30 = 2,288.66 : x
  2. Step 2: Convert to fraction form
    7,218.92/10,830.30 = 2,288.66/x
  3. Step 3: Cross multiply
    7,218.92x = 10,830.30 × 2,288.66
  4. Step 4: Simplify right side
    7,218.92x = 24,786,874.40
  5. Step 5: Solve for x
    x = 24,786,874.40/7,218.92
  6. Step 6: Final answer
    x = 3,433.60

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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.