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Finding the Fourth Proportional to 11,851.12, 17,777.63 and 4,060

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Solution

The fourth proportional to 11,851.12, 17,777.63 and 4,060 is: 6,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.12 : 17,777.63 = 4,060 : x
  2. Step 2: Convert to fraction form
    11,851.12/17,777.63 = 4,060/x
  3. Step 3: Cross multiply
    11,851.12x = 17,777.63 × 4,060
  4. Step 4: Simplify right side
    11,851.12x = 72,177,177.80
  5. Step 5: Solve for x
    x = 72,177,177.80/11,851.12
  6. Step 6: Final answer
    x = 6,090.33

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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.