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Finding the Fourth Proportional to 6,781.57, 10,154.81 and 4,679.66

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Solution

The fourth proportional to 6,781.57, 10,154.81 and 4,679.66 is: 7,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.57 : 10,154.81 = 4,679.66 : x
  2. Step 2: Convert to fraction form
    6,781.57/10,154.81 = 4,679.66/x
  3. Step 3: Cross multiply
    6,781.57x = 10,154.81 × 4,679.66
  4. Step 4: Simplify right side
    6,781.57x = 47,521,095.25
  5. Step 5: Solve for x
    x = 47,521,095.25/6,781.57
  6. Step 6: Final answer
    x = 7,007.39

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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.