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Finding the Fourth Proportional to 8,145.16, 12,209.19 and 3,464.08

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Solution

The fourth proportional to 8,145.16, 12,209.19 and 3,464.08 is: 5,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.16 : 12,209.19 = 3,464.08 : x
  2. Step 2: Convert to fraction form
    8,145.16/12,209.19 = 3,464.08/x
  3. Step 3: Cross multiply
    8,145.16x = 12,209.19 × 3,464.08
  4. Step 4: Simplify right side
    8,145.16x = 42,293,610.90
  5. Step 5: Solve for x
    x = 42,293,610.90/8,145.16
  6. Step 6: Final answer
    x = 5,192.48

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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.