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Finding the Fourth Proportional to 8,202.85, 11,319.93 and 4,476.85

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Solution

The fourth proportional to 8,202.85, 11,319.93 and 4,476.85 is: 6,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.85 : 11,319.93 = 4,476.85 : x
  2. Step 2: Convert to fraction form
    8,202.85/11,319.93 = 4,476.85/x
  3. Step 3: Cross multiply
    8,202.85x = 11,319.93 × 4,476.85
  4. Step 4: Simplify right side
    8,202.85x = 50,677,628.62
  5. Step 5: Solve for x
    x = 50,677,628.62/8,202.85
  6. Step 6: Final answer
    x = 6,178.05

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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.