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Finding the Fourth Proportional to 7,760.95, 11,641.83 and 2,213.87

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Solution

The fourth proportional to 7,760.95, 11,641.83 and 2,213.87 is: 3,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.95 : 11,641.83 = 2,213.87 : x
  2. Step 2: Convert to fraction form
    7,760.95/11,641.83 = 2,213.87/x
  3. Step 3: Cross multiply
    7,760.95x = 11,641.83 × 2,213.87
  4. Step 4: Simplify right side
    7,760.95x = 25,773,431.67
  5. Step 5: Solve for x
    x = 25,773,431.67/7,760.95
  6. Step 6: Final answer
    x = 3,320.91

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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.