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Finding the Fourth Proportional to 11,092.80, 16,647.30 and 7,812.30

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Solution

The fourth proportional to 11,092.80, 16,647.30 and 7,812.30 is: 11,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.80 : 16,647.30 = 7,812.30 : x
  2. Step 2: Convert to fraction form
    11,092.80/16,647.30 = 7,812.30/x
  3. Step 3: Cross multiply
    11,092.80x = 16,647.30 × 7,812.30
  4. Step 4: Simplify right side
    11,092.80x = 130,053,701.79
  5. Step 5: Solve for x
    x = 130,053,701.79/11,092.80
  6. Step 6: Final answer
    x = 11,724.15

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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.