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Finding the Fourth Proportional to 8,035.20, 12,085.20 and 7,192.80

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Solution

The fourth proportional to 8,035.20, 12,085.20 and 7,192.80 is: 10,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.20 : 12,085.20 = 7,192.80 : x
  2. Step 2: Convert to fraction form
    8,035.20/12,085.20 = 7,192.80/x
  3. Step 3: Cross multiply
    8,035.20x = 12,085.20 × 7,192.80
  4. Step 4: Simplify right side
    8,035.20x = 86,926,426.56
  5. Step 5: Solve for x
    x = 86,926,426.56/8,035.20
  6. Step 6: Final answer
    x = 10,818.20

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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.