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Finding the Fourth Proportional to 7,781.85, 11,670.98 and 2,586.33

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Solution

The fourth proportional to 7,781.85, 11,670.98 and 2,586.33 is: 3,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.85 : 11,670.98 = 2,586.33 : x
  2. Step 2: Convert to fraction form
    7,781.85/11,670.98 = 2,586.33/x
  3. Step 3: Cross multiply
    7,781.85x = 11,670.98 × 2,586.33
  4. Step 4: Simplify right side
    7,781.85x = 30,184,992.77
  5. Step 5: Solve for x
    x = 30,184,992.77/7,781.85
  6. Step 6: Final answer
    x = 3,878.90

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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.