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Finding the Fourth Proportional to 8,223.42, 12,332.18 and 2,378.82

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Solution

The fourth proportional to 8,223.42, 12,332.18 and 2,378.82 is: 3,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.42 : 12,332.18 = 2,378.82 : x
  2. Step 2: Convert to fraction form
    8,223.42/12,332.18 = 2,378.82/x
  3. Step 3: Cross multiply
    8,223.42x = 12,332.18 × 2,378.82
  4. Step 4: Simplify right side
    8,223.42x = 29,336,036.43
  5. Step 5: Solve for x
    x = 29,336,036.43/8,223.42
  6. Step 6: Final answer
    x = 3,567.38

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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.