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Finding the Fourth Proportional to 8,209.77, 11,329.29 and 4,575.79

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Solution

The fourth proportional to 8,209.77, 11,329.29 and 4,575.79 is: 6,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.77 : 11,329.29 = 4,575.79 : x
  2. Step 2: Convert to fraction form
    8,209.77/11,329.29 = 4,575.79/x
  3. Step 3: Cross multiply
    8,209.77x = 11,329.29 × 4,575.79
  4. Step 4: Simplify right side
    8,209.77x = 51,840,487.29
  5. Step 5: Solve for x
    x = 51,840,487.29/8,209.77
  6. Step 6: Final answer
    x = 6,314.48

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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.