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Finding the Fourth Proportional to 8,209.14, 11,328.67 and 4,672.57

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Solution

The fourth proportional to 8,209.14, 11,328.67 and 4,672.57 is: 6,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.14 : 11,328.67 = 4,672.57 : x
  2. Step 2: Convert to fraction form
    8,209.14/11,328.67 = 4,672.57/x
  3. Step 3: Cross multiply
    8,209.14x = 11,328.67 × 4,672.57
  4. Step 4: Simplify right side
    8,209.14x = 52,934,003.58
  5. Step 5: Solve for x
    x = 52,934,003.58/8,209.14
  6. Step 6: Final answer
    x = 6,448.18

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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.