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Finding the Fourth Proportional to 7,606.74, 10,497.30 and 4,249.56

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Solution

The fourth proportional to 7,606.74, 10,497.30 and 4,249.56 is: 5,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.74 : 10,497.30 = 4,249.56 : x
  2. Step 2: Convert to fraction form
    7,606.74/10,497.30 = 4,249.56/x
  3. Step 3: Cross multiply
    7,606.74x = 10,497.30 × 4,249.56
  4. Step 4: Simplify right side
    7,606.74x = 44,608,906.19
  5. Step 5: Solve for x
    x = 44,608,906.19/7,606.74
  6. Step 6: Final answer
    x = 5,864.39

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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.