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Finding the Fourth Proportional to 8,771.74, 13,159.36 and 2,850.14

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Solution

The fourth proportional to 8,771.74, 13,159.36 and 2,850.14 is: 4,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.74 : 13,159.36 = 2,850.14 : x
  2. Step 2: Convert to fraction form
    8,771.74/13,159.36 = 2,850.14/x
  3. Step 3: Cross multiply
    8,771.74x = 13,159.36 × 2,850.14
  4. Step 4: Simplify right side
    8,771.74x = 37,505,980.75
  5. Step 5: Solve for x
    x = 37,505,980.75/8,771.74
  6. Step 6: Final answer
    x = 4,275.77

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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.