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Finding the Fourth Proportional to 8,452.83, 12,670.44 and 3,184.23

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Solution

The fourth proportional to 8,452.83, 12,670.44 and 3,184.23 is: 4,773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.83 : 12,670.44 = 3,184.23 : x
  2. Step 2: Convert to fraction form
    8,452.83/12,670.44 = 3,184.23/x
  3. Step 3: Cross multiply
    8,452.83x = 12,670.44 × 3,184.23
  4. Step 4: Simplify right side
    8,452.83x = 40,345,595.16
  5. Step 5: Solve for x
    x = 40,345,595.16/8,452.83
  6. Step 6: Final answer
    x = 4,773.03

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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.