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Finding the Fourth Proportional to 6,807.29, 10,208.30 and 2,646.74

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Solution

The fourth proportional to 6,807.29, 10,208.30 and 2,646.74 is: 3,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.29 : 10,208.30 = 2,646.74 : x
  2. Step 2: Convert to fraction form
    6,807.29/10,208.30 = 2,646.74/x
  3. Step 3: Cross multiply
    6,807.29x = 10,208.30 × 2,646.74
  4. Step 4: Simplify right side
    6,807.29x = 27,018,728.23
  5. Step 5: Solve for x
    x = 27,018,728.23/6,807.29
  6. Step 6: Final answer
    x = 3,969.09

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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.