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Finding the Fourth Proportional to 8,462.91, 11,678.67 and 4,686

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Solution

The fourth proportional to 8,462.91, 11,678.67 and 4,686 is: 6,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.91 : 11,678.67 = 4,686 : x
  2. Step 2: Convert to fraction form
    8,462.91/11,678.67 = 4,686/x
  3. Step 3: Cross multiply
    8,462.91x = 11,678.67 × 4,686
  4. Step 4: Simplify right side
    8,462.91x = 54,726,247.62
  5. Step 5: Solve for x
    x = 54,726,247.62/8,462.91
  6. Step 6: Final answer
    x = 6,466.60

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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.