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Finding the Fourth Proportional to 11,311.80, 16,967.70 and 7,812.60

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Solution

The fourth proportional to 11,311.80, 16,967.70 and 7,812.60 is: 11,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.80 : 16,967.70 = 7,812.60 : x
  2. Step 2: Convert to fraction form
    11,311.80/16,967.70 = 7,812.60/x
  3. Step 3: Cross multiply
    11,311.80x = 16,967.70 × 7,812.60
  4. Step 4: Simplify right side
    11,311.80x = 132,561,853.02
  5. Step 5: Solve for x
    x = 132,561,853.02/11,311.80
  6. Step 6: Final answer
    x = 11,718.90

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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.