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Finding the Fourth Proportional to 8,212.14, 11,329.94 and 4,674.47

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Solution

The fourth proportional to 8,212.14, 11,329.94 and 4,674.47 is: 6,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.14 : 11,329.94 = 4,674.47 : x
  2. Step 2: Convert to fraction form
    8,212.14/11,329.94 = 4,674.47/x
  3. Step 3: Cross multiply
    8,212.14x = 11,329.94 × 4,674.47
  4. Step 4: Simplify right side
    8,212.14x = 52,961,419.67
  5. Step 5: Solve for x
    x = 52,961,419.67/8,212.14
  6. Step 6: Final answer
    x = 6,449.16

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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.