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Finding the Fourth Proportional to 6,773.84, 10,165.56 and 4,310.48

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Solution

The fourth proportional to 6,773.84, 10,165.56 and 4,310.48 is: 6,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.84 : 10,165.56 = 4,310.48 : x
  2. Step 2: Convert to fraction form
    6,773.84/10,165.56 = 4,310.48/x
  3. Step 3: Cross multiply
    6,773.84x = 10,165.56 × 4,310.48
  4. Step 4: Simplify right side
    6,773.84x = 43,818,443.07
  5. Step 5: Solve for x
    x = 43,818,443.07/6,773.84
  6. Step 6: Final answer
    x = 6,468.77

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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.