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Finding the Fourth Proportional to 11,778.79, 17,670.34 and 3,881.77

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Solution

The fourth proportional to 11,778.79, 17,670.34 and 3,881.77 is: 5,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.79 : 17,670.34 = 3,881.77 : x
  2. Step 2: Convert to fraction form
    11,778.79/17,670.34 = 3,881.77/x
  3. Step 3: Cross multiply
    11,778.79x = 17,670.34 × 3,881.77
  4. Step 4: Simplify right side
    11,778.79x = 68,592,167.30
  5. Step 5: Solve for x
    x = 68,592,167.30/11,778.79
  6. Step 6: Final answer
    x = 5,823.36

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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.