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Finding the Fourth Proportional to 11,813.64, 16,302.81 and 6,508.44

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Solution

The fourth proportional to 11,813.64, 16,302.81 and 6,508.44 is: 8,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.64 : 16,302.81 = 6,508.44 : x
  2. Step 2: Convert to fraction form
    11,813.64/16,302.81 = 6,508.44/x
  3. Step 3: Cross multiply
    11,813.64x = 16,302.81 × 6,508.44
  4. Step 4: Simplify right side
    11,813.64x = 106,105,860.72
  5. Step 5: Solve for x
    x = 106,105,860.72/11,813.64
  6. Step 6: Final answer
    x = 8,981.64

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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.