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Finding the Fourth Proportional to 11,771.06, 17,659.08 and 5,851.17

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Solution

The fourth proportional to 11,771.06, 17,659.08 and 5,851.17 is: 8,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.06 : 17,659.08 = 5,851.17 : x
  2. Step 2: Convert to fraction form
    11,771.06/17,659.08 = 5,851.17/x
  3. Step 3: Cross multiply
    11,771.06x = 17,659.08 × 5,851.17
  4. Step 4: Simplify right side
    11,771.06x = 103,326,279.12
  5. Step 5: Solve for x
    x = 103,326,279.12/11,771.06
  6. Step 6: Final answer
    x = 8,778.00

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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.