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Finding the Fourth Proportional to 11,813.58, 16,302.96 and 6,508.98

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Solution

The fourth proportional to 11,813.58, 16,302.96 and 6,508.98 is: 8,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.58 : 16,302.96 = 6,508.98 : x
  2. Step 2: Convert to fraction form
    11,813.58/16,302.96 = 6,508.98/x
  3. Step 3: Cross multiply
    11,813.58x = 16,302.96 × 6,508.98
  4. Step 4: Simplify right side
    11,813.58x = 106,115,640.58
  5. Step 5: Solve for x
    x = 106,115,640.58/11,813.58
  6. Step 6: Final answer
    x = 8,982.51

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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.