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Finding the Fourth Proportional to 10,385.66, 14,336.84 and 8,080.82

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Solution

The fourth proportional to 10,385.66, 14,336.84 and 8,080.82 is: 11,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.66 : 14,336.84 = 8,080.82 : x
  2. Step 2: Convert to fraction form
    10,385.66/14,336.84 = 8,080.82/x
  3. Step 3: Cross multiply
    10,385.66x = 14,336.84 × 8,080.82
  4. Step 4: Simplify right side
    10,385.66x = 115,853,449.88
  5. Step 5: Solve for x
    x = 115,853,449.88/10,385.66
  6. Step 6: Final answer
    x = 11,155.14

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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.