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Finding the Fourth Proportional to 8,678.46, 11,976.27 and 4,699.56

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Solution

The fourth proportional to 8,678.46, 11,976.27 and 4,699.56 is: 6,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.46 : 11,976.27 = 4,699.56 : x
  2. Step 2: Convert to fraction form
    8,678.46/11,976.27 = 4,699.56/x
  3. Step 3: Cross multiply
    8,678.46x = 11,976.27 × 4,699.56
  4. Step 4: Simplify right side
    8,678.46x = 56,283,199.44
  5. Step 5: Solve for x
    x = 56,283,199.44/8,678.46
  6. Step 6: Final answer
    x = 6,485.39

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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.