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Finding the Fourth Proportional to 8,224.92, 12,340.80 and 4,526.84

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Solution

The fourth proportional to 8,224.92, 12,340.80 and 4,526.84 is: 6,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.92 : 12,340.80 = 4,526.84 : x
  2. Step 2: Convert to fraction form
    8,224.92/12,340.80 = 4,526.84/x
  3. Step 3: Cross multiply
    8,224.92x = 12,340.80 × 4,526.84
  4. Step 4: Simplify right side
    8,224.92x = 55,864,857.92
  5. Step 5: Solve for x
    x = 55,864,857.92/8,224.92
  6. Step 6: Final answer
    x = 6,792.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.