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Finding the Fourth Proportional to 8,212.14, 11,332.86 and 4,675.44

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Solution

The fourth proportional to 8,212.14, 11,332.86 and 4,675.44 is: 6,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.14 : 11,332.86 = 4,675.44 : x
  2. Step 2: Convert to fraction form
    8,212.14/11,332.86 = 4,675.44/x
  3. Step 3: Cross multiply
    8,212.14x = 11,332.86 × 4,675.44
  4. Step 4: Simplify right side
    8,212.14x = 52,986,106.96
  5. Step 5: Solve for x
    x = 52,986,106.96/8,212.14
  6. Step 6: Final answer
    x = 6,452.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.