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Finding the Fourth Proportional to 8,241.08, 12,339.74 and 5,777.06

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Solution

The fourth proportional to 8,241.08, 12,339.74 and 5,777.06 is: 8,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.08 : 12,339.74 = 5,777.06 : x
  2. Step 2: Convert to fraction form
    8,241.08/12,339.74 = 5,777.06/x
  3. Step 3: Cross multiply
    8,241.08x = 12,339.74 × 5,777.06
  4. Step 4: Simplify right side
    8,241.08x = 71,287,371.11
  5. Step 5: Solve for x
    x = 71,287,371.11/8,241.08
  6. Step 6: Final answer
    x = 8,650.25

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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.