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Finding the Fourth Proportional to 7,775.93, 11,660.38 and 2,228.00

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Solution

The fourth proportional to 7,775.93, 11,660.38 and 2,228.00 is: 3,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.93 : 11,660.38 = 2,228.00 : x
  2. Step 2: Convert to fraction form
    7,775.93/11,660.38 = 2,228.00/x
  3. Step 3: Cross multiply
    7,775.93x = 11,660.38 × 2,228.00
  4. Step 4: Simplify right side
    7,775.93x = 25,979,306.49
  5. Step 5: Solve for x
    x = 25,979,306.49/7,775.93
  6. Step 6: Final answer
    x = 3,340.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.