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Finding the Fourth Proportional to 8,678, 11,976.36 and 4,952.72

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Solution

The fourth proportional to 8,678, 11,976.36 and 4,952.72 is: 6,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678 : 11,976.36 = 4,952.72 : x
  2. Step 2: Convert to fraction form
    8,678/11,976.36 = 4,952.72/x
  3. Step 3: Cross multiply
    8,678x = 11,976.36 × 4,952.72
  4. Step 4: Simplify right side
    8,678x = 59,315,557.70
  5. Step 5: Solve for x
    x = 59,315,557.70/8,678
  6. Step 6: Final answer
    x = 6,835.16

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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.