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Finding the Fourth Proportional to 7,774.38, 11,661.60 and 2,580.25

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Solution

The fourth proportional to 7,774.38, 11,661.60 and 2,580.25 is: 3,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.38 : 11,661.60 = 2,580.25 : x
  2. Step 2: Convert to fraction form
    7,774.38/11,661.60 = 2,580.25/x
  3. Step 3: Cross multiply
    7,774.38x = 11,661.60 × 2,580.25
  4. Step 4: Simplify right side
    7,774.38x = 30,089,843.40
  5. Step 5: Solve for x
    x = 30,089,843.40/7,774.38
  6. Step 6: Final answer
    x = 3,870.38

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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.