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Finding the Fourth Proportional to 8,317.78, 12,478.47 and 2,771.62

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Solution

The fourth proportional to 8,317.78, 12,478.47 and 2,771.62 is: 4,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.78 : 12,478.47 = 2,771.62 : x
  2. Step 2: Convert to fraction form
    8,317.78/12,478.47 = 2,771.62/x
  3. Step 3: Cross multiply
    8,317.78x = 12,478.47 × 2,771.62
  4. Step 4: Simplify right side
    8,317.78x = 34,585,577.02
  5. Step 5: Solve for x
    x = 34,585,577.02/8,317.78
  6. Step 6: Final answer
    x = 4,158.03

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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.