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Finding the Fourth Proportional to 8,354.08, 12,517.44 and 5,057.18

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Solution

The fourth proportional to 8,354.08, 12,517.44 and 5,057.18 is: 7,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.08 : 12,517.44 = 5,057.18 : x
  2. Step 2: Convert to fraction form
    8,354.08/12,517.44 = 5,057.18/x
  3. Step 3: Cross multiply
    8,354.08x = 12,517.44 × 5,057.18
  4. Step 4: Simplify right side
    8,354.08x = 63,302,884.63
  5. Step 5: Solve for x
    x = 63,302,884.63/8,354.08
  6. Step 6: Final answer
    x = 7,577.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.