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Finding the Fourth Proportional to 7,781.54, 11,670.19 and 2,586.74

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Solution

The fourth proportional to 7,781.54, 11,670.19 and 2,586.74 is: 3,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.54 : 11,670.19 = 2,586.74 : x
  2. Step 2: Convert to fraction form
    7,781.54/11,670.19 = 2,586.74/x
  3. Step 3: Cross multiply
    7,781.54x = 11,670.19 × 2,586.74
  4. Step 4: Simplify right side
    7,781.54x = 30,187,747.28
  5. Step 5: Solve for x
    x = 30,187,747.28/7,781.54
  6. Step 6: Final answer
    x = 3,879.41

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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.