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Finding the Fourth Proportional to 8,127.84, 11,216.88 and 4,591.36

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Solution

The fourth proportional to 8,127.84, 11,216.88 and 4,591.36 is: 6,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.84 : 11,216.88 = 4,591.36 : x
  2. Step 2: Convert to fraction form
    8,127.84/11,216.88 = 4,591.36/x
  3. Step 3: Cross multiply
    8,127.84x = 11,216.88 × 4,591.36
  4. Step 4: Simplify right side
    8,127.84x = 51,500,734.16
  5. Step 5: Solve for x
    x = 51,500,734.16/8,127.84
  6. Step 6: Final answer
    x = 6,336.34

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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.