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Finding the Fourth Proportional to 11,249.39, 15,530.79 and 7,717.79

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Solution

The fourth proportional to 11,249.39, 15,530.79 and 7,717.79 is: 10,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.39 : 15,530.79 = 7,717.79 : x
  2. Step 2: Convert to fraction form
    11,249.39/15,530.79 = 7,717.79/x
  3. Step 3: Cross multiply
    11,249.39x = 15,530.79 × 7,717.79
  4. Step 4: Simplify right side
    11,249.39x = 119,863,298.10
  5. Step 5: Solve for x
    x = 119,863,298.10/11,249.39
  6. Step 6: Final answer
    x = 10,655.10

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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.