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Finding the Fourth Proportional to 8,232.32, 11,353.02 and 7,284.62

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Solution

The fourth proportional to 8,232.32, 11,353.02 and 7,284.62 is: 10,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.32 : 11,353.02 = 7,284.62 : x
  2. Step 2: Convert to fraction form
    8,232.32/11,353.02 = 7,284.62/x
  3. Step 3: Cross multiply
    8,232.32x = 11,353.02 × 7,284.62
  4. Step 4: Simplify right side
    8,232.32x = 82,702,436.55
  5. Step 5: Solve for x
    x = 82,702,436.55/8,232.32
  6. Step 6: Final answer
    x = 10,046.07

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Double scale
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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.