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Finding the Fourth Proportional to 8,562.24, 11,816.28 and 6,696

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Solution

The fourth proportional to 8,562.24, 11,816.28 and 6,696 is: 9,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.24 : 11,816.28 = 6,696 : x
  2. Step 2: Convert to fraction form
    8,562.24/11,816.28 = 6,696/x
  3. Step 3: Cross multiply
    8,562.24x = 11,816.28 × 6,696
  4. Step 4: Simplify right side
    8,562.24x = 79,121,810.88
  5. Step 5: Solve for x
    x = 79,121,810.88/8,562.24
  6. Step 6: Final answer
    x = 9,240.78

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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.