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Finding the Fourth Proportional to 6,852.52, 10,249.48 and 5,719.89

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Solution

The fourth proportional to 6,852.52, 10,249.48 and 5,719.89 is: 8,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.52 : 10,249.48 = 5,719.89 : x
  2. Step 2: Convert to fraction form
    6,852.52/10,249.48 = 5,719.89/x
  3. Step 3: Cross multiply
    6,852.52x = 10,249.48 × 5,719.89
  4. Step 4: Simplify right side
    6,852.52x = 58,625,898.16
  5. Step 5: Solve for x
    x = 58,625,898.16/6,852.52
  6. Step 6: Final answer
    x = 8,555.38

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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.