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Finding the Fourth Proportional to 11,908.45, 16,385.37 and 9,776.14

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Solution

The fourth proportional to 11,908.45, 16,385.37 and 9,776.14 is: 13,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.45 : 16,385.37 = 9,776.14 : x
  2. Step 2: Convert to fraction form
    11,908.45/16,385.37 = 9,776.14/x
  3. Step 3: Cross multiply
    11,908.45x = 16,385.37 × 9,776.14
  4. Step 4: Simplify right side
    11,908.45x = 160,185,671.07
  5. Step 5: Solve for x
    x = 160,185,671.07/11,908.45
  6. Step 6: Final answer
    x = 13,451.43

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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.