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Finding the Fourth Proportional to 6,711.84, 10,065.24 and 5,392.35

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Solution

The fourth proportional to 6,711.84, 10,065.24 and 5,392.35 is: 8,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.84 : 10,065.24 = 5,392.35 : x
  2. Step 2: Convert to fraction form
    6,711.84/10,065.24 = 5,392.35/x
  3. Step 3: Cross multiply
    6,711.84x = 10,065.24 × 5,392.35
  4. Step 4: Simplify right side
    6,711.84x = 54,275,296.91
  5. Step 5: Solve for x
    x = 54,275,296.91/6,711.84
  6. Step 6: Final answer
    x = 8,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.