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Finding the Fourth Proportional to 11,616.55, 16,037.46 and 7,649.19

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Solution

The fourth proportional to 11,616.55, 16,037.46 and 7,649.19 is: 10,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.55 : 16,037.46 = 7,649.19 : x
  2. Step 2: Convert to fraction form
    11,616.55/16,037.46 = 7,649.19/x
  3. Step 3: Cross multiply
    11,616.55x = 16,037.46 × 7,649.19
  4. Step 4: Simplify right side
    11,616.55x = 122,673,578.66
  5. Step 5: Solve for x
    x = 122,673,578.66/11,616.55
  6. Step 6: Final answer
    x = 10,560.24

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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.