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Finding the Fourth Proportional to 7,000.50, 9,660.72 and 3,856.62

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Solution

The fourth proportional to 7,000.50, 9,660.72 and 3,856.62 is: 5,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.50 : 9,660.72 = 3,856.62 : x
  2. Step 2: Convert to fraction form
    7,000.50/9,660.72 = 3,856.62/x
  3. Step 3: Cross multiply
    7,000.50x = 9,660.72 × 3,856.62
  4. Step 4: Simplify right side
    7,000.50x = 37,257,725.97
  5. Step 5: Solve for x
    x = 37,257,725.97/7,000.50
  6. Step 6: Final answer
    x = 5,322.15

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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.