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Finding the Fourth Proportional to 8,723.80, 13,085.70 and 5,224.60

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Solution

The fourth proportional to 8,723.80, 13,085.70 and 5,224.60 is: 7,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.80 : 13,085.70 = 5,224.60 : x
  2. Step 2: Convert to fraction form
    8,723.80/13,085.70 = 5,224.60/x
  3. Step 3: Cross multiply
    8,723.80x = 13,085.70 × 5,224.60
  4. Step 4: Simplify right side
    8,723.80x = 68,367,548.22
  5. Step 5: Solve for x
    x = 68,367,548.22/8,723.80
  6. Step 6: Final answer
    x = 7,836.90

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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.