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Finding the Fourth Proportional to 6,693.76, 10,040.37 and 3,185.47

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Solution

The fourth proportional to 6,693.76, 10,040.37 and 3,185.47 is: 4,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.76 : 10,040.37 = 3,185.47 : x
  2. Step 2: Convert to fraction form
    6,693.76/10,040.37 = 3,185.47/x
  3. Step 3: Cross multiply
    6,693.76x = 10,040.37 × 3,185.47
  4. Step 4: Simplify right side
    6,693.76x = 31,983,297.42
  5. Step 5: Solve for x
    x = 31,983,297.42/6,693.76
  6. Step 6: Final answer
    x = 4,778.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.