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Finding the Fourth Proportional to 8,247.72, 11,403.78 and 7,210.92

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Solution

The fourth proportional to 8,247.72, 11,403.78 and 7,210.92 is: 9,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.72 : 11,403.78 = 7,210.92 : x
  2. Step 2: Convert to fraction form
    8,247.72/11,403.78 = 7,210.92/x
  3. Step 3: Cross multiply
    8,247.72x = 11,403.78 × 7,210.92
  4. Step 4: Simplify right side
    8,247.72x = 82,231,745.28
  5. Step 5: Solve for x
    x = 82,231,745.28/8,247.72
  6. Step 6: Final answer
    x = 9,970.24

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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.