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Finding the Fourth Proportional to 11,813.84, 16,305.45 and 6,781.46

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Solution

The fourth proportional to 11,813.84, 16,305.45 and 6,781.46 is: 9,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.84 : 16,305.45 = 6,781.46 : x
  2. Step 2: Convert to fraction form
    11,813.84/16,305.45 = 6,781.46/x
  3. Step 3: Cross multiply
    11,813.84x = 16,305.45 × 6,781.46
  4. Step 4: Simplify right side
    11,813.84x = 110,574,675.43
  5. Step 5: Solve for x
    x = 110,574,675.43/11,813.84
  6. Step 6: Final answer
    x = 9,359.76

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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.