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Finding the Fourth Proportional to 8,100.27, 11,156.02 and 6,980.80

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Solution

The fourth proportional to 8,100.27, 11,156.02 and 6,980.80 is: 9,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.27 : 11,156.02 = 6,980.80 : x
  2. Step 2: Convert to fraction form
    8,100.27/11,156.02 = 6,980.80/x
  3. Step 3: Cross multiply
    8,100.27x = 11,156.02 × 6,980.80
  4. Step 4: Simplify right side
    8,100.27x = 77,877,944.42
  5. Step 5: Solve for x
    x = 77,877,944.42/8,100.27
  6. Step 6: Final answer
    x = 9,614.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.