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Finding the Fourth Proportional to 8,233.92, 12,277.44 and 7,318.08

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Solution

The fourth proportional to 8,233.92, 12,277.44 and 7,318.08 is: 10,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.92 : 12,277.44 = 7,318.08 : x
  2. Step 2: Convert to fraction form
    8,233.92/12,277.44 = 7,318.08/x
  3. Step 3: Cross multiply
    8,233.92x = 12,277.44 × 7,318.08
  4. Step 4: Simplify right side
    8,233.92x = 89,847,288.12
  5. Step 5: Solve for x
    x = 89,847,288.12/8,233.92
  6. Step 6: Final answer
    x = 10,911.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.