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Finding the Fourth Proportional to 8,202.15, 12,309.50 and 6,016.57

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Solution

The fourth proportional to 8,202.15, 12,309.50 and 6,016.57 is: 9,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.15 : 12,309.50 = 6,016.57 : x
  2. Step 2: Convert to fraction form
    8,202.15/12,309.50 = 6,016.57/x
  3. Step 3: Cross multiply
    8,202.15x = 12,309.50 × 6,016.57
  4. Step 4: Simplify right side
    8,202.15x = 74,060,968.42
  5. Step 5: Solve for x
    x = 74,060,968.42/8,202.15
  6. Step 6: Final answer
    x = 9,029.46

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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.