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Finding the Fourth Proportional to 11,851.77, 17,777.02 and 6,008.23

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Solution

The fourth proportional to 11,851.77, 17,777.02 and 6,008.23 is: 9,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.77 : 17,777.02 = 6,008.23 : x
  2. Step 2: Convert to fraction form
    11,851.77/17,777.02 = 6,008.23/x
  3. Step 3: Cross multiply
    11,851.77x = 17,777.02 × 6,008.23
  4. Step 4: Simplify right side
    11,851.77x = 106,808,424.87
  5. Step 5: Solve for x
    x = 106,808,424.87/11,851.77
  6. Step 6: Final answer
    x = 9,012.02

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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.