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Finding the Fourth Proportional to 6,807.72, 10,208.93 and 2,647.17

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Solution

The fourth proportional to 6,807.72, 10,208.93 and 2,647.17 is: 3,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.72 : 10,208.93 = 2,647.17 : x
  2. Step 2: Convert to fraction form
    6,807.72/10,208.93 = 2,647.17/x
  3. Step 3: Cross multiply
    6,807.72x = 10,208.93 × 2,647.17
  4. Step 4: Simplify right side
    6,807.72x = 27,024,773.23
  5. Step 5: Solve for x
    x = 27,024,773.23/6,807.72
  6. Step 6: Final answer
    x = 3,969.72

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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.