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Finding the Fourth Proportional to 8,524.93, 11,768.04 and 5,732.05

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Solution

The fourth proportional to 8,524.93, 11,768.04 and 5,732.05 is: 7,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.93 : 11,768.04 = 5,732.05 : x
  2. Step 2: Convert to fraction form
    8,524.93/11,768.04 = 5,732.05/x
  3. Step 3: Cross multiply
    8,524.93x = 11,768.04 × 5,732.05
  4. Step 4: Simplify right side
    8,524.93x = 67,454,964.26
  5. Step 5: Solve for x
    x = 67,454,964.26/8,524.93
  6. Step 6: Final answer
    x = 7,912.67

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1.5x scale

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.