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Finding the Fourth Proportional to 7,839.26, 10,816.16 and 4,693.22

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Solution

The fourth proportional to 7,839.26, 10,816.16 and 4,693.22 is: 6,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.26 : 10,816.16 = 4,693.22 : x
  2. Step 2: Convert to fraction form
    7,839.26/10,816.16 = 4,693.22/x
  3. Step 3: Cross multiply
    7,839.26x = 10,816.16 × 4,693.22
  4. Step 4: Simplify right side
    7,839.26x = 50,762,618.44
  5. Step 5: Solve for x
    x = 50,762,618.44/7,839.26
  6. Step 6: Final answer
    x = 6,475.43

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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.