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Finding the Fourth Proportional to 8,473.02, 11,685.86 and 5,963.46

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Solution

The fourth proportional to 8,473.02, 11,685.86 and 5,963.46 is: 8,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.02 : 11,685.86 = 5,963.46 : x
  2. Step 2: Convert to fraction form
    8,473.02/11,685.86 = 5,963.46/x
  3. Step 3: Cross multiply
    8,473.02x = 11,685.86 × 5,963.46
  4. Step 4: Simplify right side
    8,473.02x = 69,688,158.68
  5. Step 5: Solve for x
    x = 69,688,158.68/8,473.02
  6. Step 6: Final answer
    x = 8,224.71

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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.