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Finding the Fourth Proportional to 8,310.69, 11,470.60 and 5,285.22

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Solution

The fourth proportional to 8,310.69, 11,470.60 and 5,285.22 is: 7,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.69 : 11,470.60 = 5,285.22 : x
  2. Step 2: Convert to fraction form
    8,310.69/11,470.60 = 5,285.22/x
  3. Step 3: Cross multiply
    8,310.69x = 11,470.60 × 5,285.22
  4. Step 4: Simplify right side
    8,310.69x = 60,624,697.47
  5. Step 5: Solve for x
    x = 60,624,697.47/8,310.69
  6. Step 6: Final answer
    x = 7,294.79

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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.