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Finding the Fourth Proportional to 7,154.82, 10,732.83 and 4,033.08

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Solution

The fourth proportional to 7,154.82, 10,732.83 and 4,033.08 is: 6,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.82 : 10,732.83 = 4,033.08 : x
  2. Step 2: Convert to fraction form
    7,154.82/10,732.83 = 4,033.08/x
  3. Step 3: Cross multiply
    7,154.82x = 10,732.83 × 4,033.08
  4. Step 4: Simplify right side
    7,154.82x = 43,286,362.02
  5. Step 5: Solve for x
    x = 43,286,362.02/7,154.82
  6. Step 6: Final answer
    x = 6,049.96

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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.