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Finding the Fourth Proportional to 7,514.64, 11,280.26 and 7,326.11

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Solution

The fourth proportional to 7,514.64, 11,280.26 and 7,326.11 is: 10,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.64 : 11,280.26 = 7,326.11 : x
  2. Step 2: Convert to fraction form
    7,514.64/11,280.26 = 7,326.11/x
  3. Step 3: Cross multiply
    7,514.64x = 11,280.26 × 7,326.11
  4. Step 4: Simplify right side
    7,514.64x = 82,640,472.10
  5. Step 5: Solve for x
    x = 82,640,472.10/7,514.64
  6. Step 6: Final answer
    x = 10,997.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.