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Finding the Fourth Proportional to 7,269.46, 10,906.20 and 2,590.54

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Solution

The fourth proportional to 7,269.46, 10,906.20 and 2,590.54 is: 3,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.46 : 10,906.20 = 2,590.54 : x
  2. Step 2: Convert to fraction form
    7,269.46/10,906.20 = 2,590.54/x
  3. Step 3: Cross multiply
    7,269.46x = 10,906.20 × 2,590.54
  4. Step 4: Simplify right side
    7,269.46x = 28,252,947.35
  5. Step 5: Solve for x
    x = 28,252,947.35/7,269.46
  6. Step 6: Final answer
    x = 3,886.53

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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.