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Finding the Fourth Proportional to 8,678.38, 11,976.17 and 4,699.50

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Solution

The fourth proportional to 8,678.38, 11,976.17 and 4,699.50 is: 6,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.38 : 11,976.17 = 4,699.50 : x
  2. Step 2: Convert to fraction form
    8,678.38/11,976.17 = 4,699.50/x
  3. Step 3: Cross multiply
    8,678.38x = 11,976.17 × 4,699.50
  4. Step 4: Simplify right side
    8,678.38x = 56,281,977.75
  5. Step 5: Solve for x
    x = 56,281,977.75/8,678.38
  6. Step 6: Final answer
    x = 6,485.31

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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.