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Finding the Fourth Proportional to 8,224.02, 12,257.84 and 7,756.95

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Solution

The fourth proportional to 8,224.02, 12,257.84 and 7,756.95 is: 11,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.02 : 12,257.84 = 7,756.95 : x
  2. Step 2: Convert to fraction form
    8,224.02/12,257.84 = 7,756.95/x
  3. Step 3: Cross multiply
    8,224.02x = 12,257.84 × 7,756.95
  4. Step 4: Simplify right side
    8,224.02x = 95,083,451.99
  5. Step 5: Solve for x
    x = 95,083,451.99/8,224.02
  6. Step 6: Final answer
    x = 11,561.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.