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Finding the Fourth Proportional to 11,813.34, 16,301.82 and 6,508.06

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Solution

The fourth proportional to 11,813.34, 16,301.82 and 6,508.06 is: 8,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.34 : 16,301.82 = 6,508.06 : x
  2. Step 2: Convert to fraction form
    11,813.34/16,301.82 = 6,508.06/x
  3. Step 3: Cross multiply
    11,813.34x = 16,301.82 × 6,508.06
  4. Step 4: Simplify right side
    11,813.34x = 106,093,222.67
  5. Step 5: Solve for x
    x = 106,093,222.67/11,813.34
  6. Step 6: Final answer
    x = 8,980.80

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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.