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Finding the Fourth Proportional to 11,634.66, 16,048.63 and 10,146.15

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Solution

The fourth proportional to 11,634.66, 16,048.63 and 10,146.15 is: 13,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.66 : 16,048.63 = 10,146.15 : x
  2. Step 2: Convert to fraction form
    11,634.66/16,048.63 = 10,146.15/x
  3. Step 3: Cross multiply
    11,634.66x = 16,048.63 × 10,146.15
  4. Step 4: Simplify right side
    11,634.66x = 162,831,819.96
  5. Step 5: Solve for x
    x = 162,831,819.96/11,634.66
  6. Step 6: Final answer
    x = 13,995.41

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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.