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Finding the Fourth Proportional to 11,600.19, 16,015.13 and 7,628.15

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Solution

The fourth proportional to 11,600.19, 16,015.13 and 7,628.15 is: 10,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.19 : 16,015.13 = 7,628.15 : x
  2. Step 2: Convert to fraction form
    11,600.19/16,015.13 = 7,628.15/x
  3. Step 3: Cross multiply
    11,600.19x = 16,015.13 × 7,628.15
  4. Step 4: Simplify right side
    11,600.19x = 122,165,733.83
  5. Step 5: Solve for x
    x = 122,165,733.83/11,600.19
  6. Step 6: Final answer
    x = 10,531.36

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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.