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Finding the Fourth Proportional to 7,016.30, 9,682.64 and 3,872.48

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Solution

The fourth proportional to 7,016.30, 9,682.64 and 3,872.48 is: 5,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.30 : 9,682.64 = 3,872.48 : x
  2. Step 2: Convert to fraction form
    7,016.30/9,682.64 = 3,872.48/x
  3. Step 3: Cross multiply
    7,016.30x = 9,682.64 × 3,872.48
  4. Step 4: Simplify right side
    7,016.30x = 37,495,829.75
  5. Step 5: Solve for x
    x = 37,495,829.75/7,016.30
  6. Step 6: Final answer
    x = 5,344.10

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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.