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Finding the Fourth Proportional to 8,338.52, 11,508 and 4,802.46

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Solution

The fourth proportional to 8,338.52, 11,508 and 4,802.46 is: 6,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.52 : 11,508 = 4,802.46 : x
  2. Step 2: Convert to fraction form
    8,338.52/11,508 = 4,802.46/x
  3. Step 3: Cross multiply
    8,338.52x = 11,508 × 4,802.46
  4. Step 4: Simplify right side
    8,338.52x = 55,266,709.68
  5. Step 5: Solve for x
    x = 55,266,709.68/8,338.52
  6. Step 6: Final answer
    x = 6,627.88

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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.