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Finding the Fourth Proportional to 6,805.15, 10,208.93 and 3,107.76

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Solution

The fourth proportional to 6,805.15, 10,208.93 and 3,107.76 is: 4,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.15 : 10,208.93 = 3,107.76 : x
  2. Step 2: Convert to fraction form
    6,805.15/10,208.93 = 3,107.76/x
  3. Step 3: Cross multiply
    6,805.15x = 10,208.93 × 3,107.76
  4. Step 4: Simplify right side
    6,805.15x = 31,726,867.96
  5. Step 5: Solve for x
    x = 31,726,867.96/6,805.15
  6. Step 6: Final answer
    x = 4,662.18

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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.