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Finding the Fourth Proportional to 8,214, 11,335.41 and 4,488

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Solution

The fourth proportional to 8,214, 11,335.41 and 4,488 is: 6,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214 : 11,335.41 = 4,488 : x
  2. Step 2: Convert to fraction form
    8,214/11,335.41 = 4,488/x
  3. Step 3: Cross multiply
    8,214x = 11,335.41 × 4,488
  4. Step 4: Simplify right side
    8,214x = 50,873,320.08
  5. Step 5: Solve for x
    x = 50,873,320.08/8,214
  6. Step 6: Final answer
    x = 6,193.49

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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.