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Finding the Fourth Proportional to 6,013.64, 8,299.14 and 3,361.08

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Solution

The fourth proportional to 6,013.64, 8,299.14 and 3,361.08 is: 4,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.64 : 8,299.14 = 3,361.08 : x
  2. Step 2: Convert to fraction form
    6,013.64/8,299.14 = 3,361.08/x
  3. Step 3: Cross multiply
    6,013.64x = 8,299.14 × 3,361.08
  4. Step 4: Simplify right side
    6,013.64x = 27,894,073.47
  5. Step 5: Solve for x
    x = 27,894,073.47/6,013.64
  6. Step 6: Final answer
    x = 4,638.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.