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Finding the Fourth Proportional to 8,272.07, 11,427.06 and 7,524.71

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Solution

The fourth proportional to 8,272.07, 11,427.06 and 7,524.71 is: 10,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.07 : 11,427.06 = 7,524.71 : x
  2. Step 2: Convert to fraction form
    8,272.07/11,427.06 = 7,524.71/x
  3. Step 3: Cross multiply
    8,272.07x = 11,427.06 × 7,524.71
  4. Step 4: Simplify right side
    8,272.07x = 85,985,255.52
  5. Step 5: Solve for x
    x = 85,985,255.52/8,272.07
  6. Step 6: Final answer
    x = 10,394.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.