Home / 11,833.72-17,724.64-7,207

Finding the Fourth Proportional to 11,833.72, 17,724.64 and 7,207

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Solution

The fourth proportional to 11,833.72, 17,724.64 and 7,207 is: 10,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.72 : 17,724.64 = 7,207 : x
  2. Step 2: Convert to fraction form
    11,833.72/17,724.64 = 7,207/x
  3. Step 3: Cross multiply
    11,833.72x = 17,724.64 × 7,207
  4. Step 4: Simplify right side
    11,833.72x = 127,741,480.48
  5. Step 5: Solve for x
    x = 127,741,480.48/11,833.72
  6. Step 6: Final answer
    x = 10,794.70

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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.