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Finding the Fourth Proportional to 6,807.85, 10,213.23 and 2,365.66

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Solution

The fourth proportional to 6,807.85, 10,213.23 and 2,365.66 is: 3,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.85 : 10,213.23 = 2,365.66 : x
  2. Step 2: Convert to fraction form
    6,807.85/10,213.23 = 2,365.66/x
  3. Step 3: Cross multiply
    6,807.85x = 10,213.23 × 2,365.66
  4. Step 4: Simplify right side
    6,807.85x = 24,160,978.62
  5. Step 5: Solve for x
    x = 24,160,978.62/6,807.85
  6. Step 6: Final answer
    x = 3,548.99

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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.