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Finding the Fourth Proportional to 8,384.22, 11,562.57 and 7,264.62

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Solution

The fourth proportional to 8,384.22, 11,562.57 and 7,264.62 is: 10,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.22 : 11,562.57 = 7,264.62 : x
  2. Step 2: Convert to fraction form
    8,384.22/11,562.57 = 7,264.62/x
  3. Step 3: Cross multiply
    8,384.22x = 11,562.57 × 7,264.62
  4. Step 4: Simplify right side
    8,384.22x = 83,997,677.27
  5. Step 5: Solve for x
    x = 83,997,677.27/8,384.22
  6. Step 6: Final answer
    x = 10,018.54

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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.