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Finding the Fourth Proportional to 11,863.14, 16,369.74 and 6,557.64

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Solution

The fourth proportional to 11,863.14, 16,369.74 and 6,557.64 is: 9,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.14 : 16,369.74 = 6,557.64 : x
  2. Step 2: Convert to fraction form
    11,863.14/16,369.74 = 6,557.64/x
  3. Step 3: Cross multiply
    11,863.14x = 16,369.74 × 6,557.64
  4. Step 4: Simplify right side
    11,863.14x = 107,346,861.81
  5. Step 5: Solve for x
    x = 107,346,861.81/11,863.14
  6. Step 6: Final answer
    x = 9,048.77

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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.