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Finding the Fourth Proportional to 8,678.45, 11,976.32 and 4,699.57

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Solution

The fourth proportional to 8,678.45, 11,976.32 and 4,699.57 is: 6,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.45 : 11,976.32 = 4,699.57 : x
  2. Step 2: Convert to fraction form
    8,678.45/11,976.32 = 4,699.57/x
  3. Step 3: Cross multiply
    8,678.45x = 11,976.32 × 4,699.57
  4. Step 4: Simplify right side
    8,678.45x = 56,283,494.30
  5. Step 5: Solve for x
    x = 56,283,494.30/8,678.45
  6. Step 6: Final answer
    x = 6,485.43

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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.