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Finding the Fourth Proportional to 8,261.65, 11,416.14 and 6,019.62

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Solution

The fourth proportional to 8,261.65, 11,416.14 and 6,019.62 is: 8,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.65 : 11,416.14 = 6,019.62 : x
  2. Step 2: Convert to fraction form
    8,261.65/11,416.14 = 6,019.62/x
  3. Step 3: Cross multiply
    8,261.65x = 11,416.14 × 6,019.62
  4. Step 4: Simplify right side
    8,261.65x = 68,720,781.86
  5. Step 5: Solve for x
    x = 68,720,781.86/8,261.65
  6. Step 6: Final answer
    x = 8,318.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.