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Finding the Fourth Proportional to 7,716.47, 10,650.69 and 6,229.31

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Solution

The fourth proportional to 7,716.47, 10,650.69 and 6,229.31 is: 8,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.47 : 10,650.69 = 6,229.31 : x
  2. Step 2: Convert to fraction form
    7,716.47/10,650.69 = 6,229.31/x
  3. Step 3: Cross multiply
    7,716.47x = 10,650.69 × 6,229.31
  4. Step 4: Simplify right side
    7,716.47x = 66,346,396.47
  5. Step 5: Solve for x
    x = 66,346,396.47/7,716.47
  6. Step 6: Final answer
    x = 8,598.03

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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.