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Finding the Fourth Proportional to 11,812.32, 17,712.54 and 5,230.80

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Solution

The fourth proportional to 11,812.32, 17,712.54 and 5,230.80 is: 7,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.32 : 17,712.54 = 5,230.80 : x
  2. Step 2: Convert to fraction form
    11,812.32/17,712.54 = 5,230.80/x
  3. Step 3: Cross multiply
    11,812.32x = 17,712.54 × 5,230.80
  4. Step 4: Simplify right side
    11,812.32x = 92,650,754.23
  5. Step 5: Solve for x
    x = 92,650,754.23/11,812.32
  6. Step 6: Final answer
    x = 7,843.57

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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.