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Finding the Fourth Proportional to 7,807.28, 11,713.64 and 3,910.80

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Solution

The fourth proportional to 7,807.28, 11,713.64 and 3,910.80 is: 5,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.28 : 11,713.64 = 3,910.80 : x
  2. Step 2: Convert to fraction form
    7,807.28/11,713.64 = 3,910.80/x
  3. Step 3: Cross multiply
    7,807.28x = 11,713.64 × 3,910.80
  4. Step 4: Simplify right side
    7,807.28x = 45,809,703.31
  5. Step 5: Solve for x
    x = 45,809,703.31/7,807.28
  6. Step 6: Final answer
    x = 5,867.56

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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.