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Finding the Fourth Proportional to 8,122.32, 11,214.74 and 5,252.74

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Solution

The fourth proportional to 8,122.32, 11,214.74 and 5,252.74 is: 7,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.32 : 11,214.74 = 5,252.74 : x
  2. Step 2: Convert to fraction form
    8,122.32/11,214.74 = 5,252.74/x
  3. Step 3: Cross multiply
    8,122.32x = 11,214.74 × 5,252.74
  4. Step 4: Simplify right side
    8,122.32x = 58,908,113.39
  5. Step 5: Solve for x
    x = 58,908,113.39/8,122.32
  6. Step 6: Final answer
    x = 7,252.62

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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.