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Finding the Fourth Proportional to 8,153.98, 11,254.71 and 4,797.88

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Solution

The fourth proportional to 8,153.98, 11,254.71 and 4,797.88 is: 6,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.98 : 11,254.71 = 4,797.88 : x
  2. Step 2: Convert to fraction form
    8,153.98/11,254.71 = 4,797.88/x
  3. Step 3: Cross multiply
    8,153.98x = 11,254.71 × 4,797.88
  4. Step 4: Simplify right side
    8,153.98x = 53,998,753.70
  5. Step 5: Solve for x
    x = 53,998,753.70/8,153.98
  6. Step 6: Final answer
    x = 6,622.38

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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.