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Finding the Fourth Proportional to 11,944.36, 16,483.56 and 7,854.64

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Solution

The fourth proportional to 11,944.36, 16,483.56 and 7,854.64 is: 10,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.36 : 16,483.56 = 7,854.64 : x
  2. Step 2: Convert to fraction form
    11,944.36/16,483.56 = 7,854.64/x
  3. Step 3: Cross multiply
    11,944.36x = 16,483.56 × 7,854.64
  4. Step 4: Simplify right side
    11,944.36x = 129,472,429.72
  5. Step 5: Solve for x
    x = 129,472,429.72/11,944.36
  6. Step 6: Final answer
    x = 10,839.63

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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.