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Finding the Fourth Proportional to 8,209.41, 11,328.84 and 4,672.56

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Solution

The fourth proportional to 8,209.41, 11,328.84 and 4,672.56 is: 6,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.41 : 11,328.84 = 4,672.56 : x
  2. Step 2: Convert to fraction form
    8,209.41/11,328.84 = 4,672.56/x
  3. Step 3: Cross multiply
    8,209.41x = 11,328.84 × 4,672.56
  4. Step 4: Simplify right side
    8,209.41x = 52,934,684.63
  5. Step 5: Solve for x
    x = 52,934,684.63/8,209.41
  6. Step 6: Final answer
    x = 6,448.05

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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.