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Finding the Fourth Proportional to 8,282.52, 11,424.24 and 5,133.24

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Solution

The fourth proportional to 8,282.52, 11,424.24 and 5,133.24 is: 7,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.52 : 11,424.24 = 5,133.24 : x
  2. Step 2: Convert to fraction form
    8,282.52/11,424.24 = 5,133.24/x
  3. Step 3: Cross multiply
    8,282.52x = 11,424.24 × 5,133.24
  4. Step 4: Simplify right side
    8,282.52x = 58,643,365.74
  5. Step 5: Solve for x
    x = 58,643,365.74/8,282.52
  6. Step 6: Final answer
    x = 7,080.38

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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.