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Finding the Fourth Proportional to 8,226, 11,326.92 and 7,044.72

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Solution

The fourth proportional to 8,226, 11,326.92 and 7,044.72 is: 9,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226 : 11,326.92 = 7,044.72 : x
  2. Step 2: Convert to fraction form
    8,226/11,326.92 = 7,044.72/x
  3. Step 3: Cross multiply
    8,226x = 11,326.92 × 7,044.72
  4. Step 4: Simplify right side
    8,226x = 79,794,979.86
  5. Step 5: Solve for x
    x = 79,794,979.86/8,226
  6. Step 6: Final answer
    x = 9,700.34

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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.