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Finding the Fourth Proportional to 10,467.20, 14,441.64 and 8,696

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Solution

The fourth proportional to 10,467.20, 14,441.64 and 8,696 is: 11,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.20 : 14,441.64 = 8,696 : x
  2. Step 2: Convert to fraction form
    10,467.20/14,441.64 = 8,696/x
  3. Step 3: Cross multiply
    10,467.20x = 14,441.64 × 8,696
  4. Step 4: Simplify right side
    10,467.20x = 125,584,501.44
  5. Step 5: Solve for x
    x = 125,584,501.44/10,467.20
  6. Step 6: Final answer
    x = 11,997.91

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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.