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Finding the Fourth Proportional to 8,200.50, 11,304.59 and 5,803.02

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Solution

The fourth proportional to 8,200.50, 11,304.59 and 5,803.02 is: 7,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.50 : 11,304.59 = 5,803.02 : x
  2. Step 2: Convert to fraction form
    8,200.50/11,304.59 = 5,803.02/x
  3. Step 3: Cross multiply
    8,200.50x = 11,304.59 × 5,803.02
  4. Step 4: Simplify right side
    8,200.50x = 65,600,732.85
  5. Step 5: Solve for x
    x = 65,600,732.85/8,200.50
  6. Step 6: Final answer
    x = 7,999.61

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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.