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Finding the Fourth Proportional to 8,318.42, 12,441.16 and 7,239.50

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Solution

The fourth proportional to 8,318.42, 12,441.16 and 7,239.50 is: 10,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.42 : 12,441.16 = 7,239.50 : x
  2. Step 2: Convert to fraction form
    8,318.42/12,441.16 = 7,239.50/x
  3. Step 3: Cross multiply
    8,318.42x = 12,441.16 × 7,239.50
  4. Step 4: Simplify right side
    8,318.42x = 90,067,777.82
  5. Step 5: Solve for x
    x = 90,067,777.82/8,318.42
  6. Step 6: Final answer
    x = 10,827.51

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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.