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Finding the Fourth Proportional to 7,773.14, 11,660.88 and 2,775.14

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Solution

The fourth proportional to 7,773.14, 11,660.88 and 2,775.14 is: 4,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.14 : 11,660.88 = 2,775.14 : x
  2. Step 2: Convert to fraction form
    7,773.14/11,660.88 = 2,775.14/x
  3. Step 3: Cross multiply
    7,773.14x = 11,660.88 × 2,775.14
  4. Step 4: Simplify right side
    7,773.14x = 32,360,574.52
  5. Step 5: Solve for x
    x = 32,360,574.52/7,773.14
  6. Step 6: Final answer
    x = 4,163.13

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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.