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Finding the Fourth Proportional to 8,734.79, 12,056.03 and 5,200.02

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Solution

The fourth proportional to 8,734.79, 12,056.03 and 5,200.02 is: 7,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.79 : 12,056.03 = 5,200.02 : x
  2. Step 2: Convert to fraction form
    8,734.79/12,056.03 = 5,200.02/x
  3. Step 3: Cross multiply
    8,734.79x = 12,056.03 × 5,200.02
  4. Step 4: Simplify right side
    8,734.79x = 62,691,571.12
  5. Step 5: Solve for x
    x = 62,691,571.12/8,734.79
  6. Step 6: Final answer
    x = 7,177.23

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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.