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Finding the Fourth Proportional to 8,274.95, 11,419.41 and 4,498.12

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Solution

The fourth proportional to 8,274.95, 11,419.41 and 4,498.12 is: 6,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.95 : 11,419.41 = 4,498.12 : x
  2. Step 2: Convert to fraction form
    8,274.95/11,419.41 = 4,498.12/x
  3. Step 3: Cross multiply
    8,274.95x = 11,419.41 × 4,498.12
  4. Step 4: Simplify right side
    8,274.95x = 51,365,819.41
  5. Step 5: Solve for x
    x = 51,365,819.41/8,274.95
  6. Step 6: Final answer
    x = 6,207.39

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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.