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Finding the Fourth Proportional to 8,462.70, 11,678.43 and 4,685.94

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Solution

The fourth proportional to 8,462.70, 11,678.43 and 4,685.94 is: 6,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.70 : 11,678.43 = 4,685.94 : x
  2. Step 2: Convert to fraction form
    8,462.70/11,678.43 = 4,685.94/x
  3. Step 3: Cross multiply
    8,462.70x = 11,678.43 × 4,685.94
  4. Step 4: Simplify right side
    8,462.70x = 54,724,422.27
  5. Step 5: Solve for x
    x = 54,724,422.27/8,462.70
  6. Step 6: Final answer
    x = 6,466.54

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Why These Related Problems?

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