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Finding the Fourth Proportional to 8,462.91, 11,678.43 and 4,686.21

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Solution

The fourth proportional to 8,462.91, 11,678.43 and 4,686.21 is: 6,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.91 : 11,678.43 = 4,686.21 : x
  2. Step 2: Convert to fraction form
    8,462.91/11,678.43 = 4,686.21/x
  3. Step 3: Cross multiply
    8,462.91x = 11,678.43 × 4,686.21
  4. Step 4: Simplify right side
    8,462.91x = 54,727,575.45
  5. Step 5: Solve for x
    x = 54,727,575.45/8,462.91
  6. Step 6: Final answer
    x = 6,466.76

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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.