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Finding the Fourth Proportional to 11,249.36, 15,523.08 and 7,050.32

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Solution

The fourth proportional to 11,249.36, 15,523.08 and 7,050.32 is: 9,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.36 : 15,523.08 = 7,050.32 : x
  2. Step 2: Convert to fraction form
    11,249.36/15,523.08 = 7,050.32/x
  3. Step 3: Cross multiply
    11,249.36x = 15,523.08 × 7,050.32
  4. Step 4: Simplify right side
    11,249.36x = 109,442,681.39
  5. Step 5: Solve for x
    x = 109,442,681.39/11,249.36
  6. Step 6: Final answer
    x = 9,728.79

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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.