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Finding the Fourth Proportional to 8,274.62, 11,419.18 and 4,498

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Solution

The fourth proportional to 8,274.62, 11,419.18 and 4,498 is: 6,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.62 : 11,419.18 = 4,498 : x
  2. Step 2: Convert to fraction form
    8,274.62/11,419.18 = 4,498/x
  3. Step 3: Cross multiply
    8,274.62x = 11,419.18 × 4,498
  4. Step 4: Simplify right side
    8,274.62x = 51,363,471.64
  5. Step 5: Solve for x
    x = 51,363,471.64/8,274.62
  6. Step 6: Final answer
    x = 6,207.35

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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.