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Finding the Fourth Proportional to 7,081.73, 10,624.01 and 3,966.16

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Solution

The fourth proportional to 7,081.73, 10,624.01 and 3,966.16 is: 5,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.73 : 10,624.01 = 3,966.16 : x
  2. Step 2: Convert to fraction form
    7,081.73/10,624.01 = 3,966.16/x
  3. Step 3: Cross multiply
    7,081.73x = 10,624.01 × 3,966.16
  4. Step 4: Simplify right side
    7,081.73x = 42,136,523.50
  5. Step 5: Solve for x
    x = 42,136,523.50/7,081.73
  6. Step 6: Final answer
    x = 5,950.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.