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Finding the Fourth Proportional to 7,774.93, 11,660.23 and 2,580.85

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Solution

The fourth proportional to 7,774.93, 11,660.23 and 2,580.85 is: 3,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.93 : 11,660.23 = 2,580.85 : x
  2. Step 2: Convert to fraction form
    7,774.93/11,660.23 = 2,580.85/x
  3. Step 3: Cross multiply
    7,774.93x = 11,660.23 × 2,580.85
  4. Step 4: Simplify right side
    7,774.93x = 30,093,304.60
  5. Step 5: Solve for x
    x = 30,093,304.60/7,774.93
  6. Step 6: Final answer
    x = 3,870.56

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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.