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Finding the Fourth Proportional to 7,016.38, 9,682.54 and 3,872.50

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Solution

The fourth proportional to 7,016.38, 9,682.54 and 3,872.50 is: 5,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.38 : 9,682.54 = 3,872.50 : x
  2. Step 2: Convert to fraction form
    7,016.38/9,682.54 = 3,872.50/x
  3. Step 3: Cross multiply
    7,016.38x = 9,682.54 × 3,872.50
  4. Step 4: Simplify right side
    7,016.38x = 37,495,636.15
  5. Step 5: Solve for x
    x = 37,495,636.15/7,016.38
  6. Step 6: Final answer
    x = 5,344.01

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Why These Related Problems?

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