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Finding the Fourth Proportional to 6,011.88, 8,308.38 and 5,137.08

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Solution

The fourth proportional to 6,011.88, 8,308.38 and 5,137.08 is: 7,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.88 : 8,308.38 = 5,137.08 : x
  2. Step 2: Convert to fraction form
    6,011.88/8,308.38 = 5,137.08/x
  3. Step 3: Cross multiply
    6,011.88x = 8,308.38 × 5,137.08
  4. Step 4: Simplify right side
    6,011.88x = 42,680,812.73
  5. Step 5: Solve for x
    x = 42,680,812.73/6,011.88
  6. Step 6: Final answer
    x = 7,099.41

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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.