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Finding the Fourth Proportional to 8,232.64, 11,364.69 and 5,252.38

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Solution

The fourth proportional to 8,232.64, 11,364.69 and 5,252.38 is: 7,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.64 : 11,364.69 = 5,252.38 : x
  2. Step 2: Convert to fraction form
    8,232.64/11,364.69 = 5,252.38/x
  3. Step 3: Cross multiply
    8,232.64x = 11,364.69 × 5,252.38
  4. Step 4: Simplify right side
    8,232.64x = 59,691,670.46
  5. Step 5: Solve for x
    x = 59,691,670.46/8,232.64
  6. Step 6: Final answer
    x = 7,250.61

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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.