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Finding the Fourth Proportional to 11,817.96, 16,309.13 and 6,513.12

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Solution

The fourth proportional to 11,817.96, 16,309.13 and 6,513.12 is: 8,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.96 : 16,309.13 = 6,513.12 : x
  2. Step 2: Convert to fraction form
    11,817.96/16,309.13 = 6,513.12/x
  3. Step 3: Cross multiply
    11,817.96x = 16,309.13 × 6,513.12
  4. Step 4: Simplify right side
    11,817.96x = 106,223,320.79
  5. Step 5: Solve for x
    x = 106,223,320.79/11,817.96
  6. Step 6: Final answer
    x = 8,988.30

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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.