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Finding the Fourth Proportional to 8,677.28, 11,974.67 and 4,698.37

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Solution

The fourth proportional to 8,677.28, 11,974.67 and 4,698.37 is: 6,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.28 : 11,974.67 = 4,698.37 : x
  2. Step 2: Convert to fraction form
    8,677.28/11,974.67 = 4,698.37/x
  3. Step 3: Cross multiply
    8,677.28x = 11,974.67 × 4,698.37
  4. Step 4: Simplify right side
    8,677.28x = 56,261,439.38
  5. Step 5: Solve for x
    x = 56,261,439.38/8,677.28
  6. Step 6: Final answer
    x = 6,483.77

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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.