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Finding the Fourth Proportional to 11,817.89, 16,309.02 and 6,513.05

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Solution

The fourth proportional to 11,817.89, 16,309.02 and 6,513.05 is: 8,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.89 : 16,309.02 = 6,513.05 : x
  2. Step 2: Convert to fraction form
    11,817.89/16,309.02 = 6,513.05/x
  3. Step 3: Cross multiply
    11,817.89x = 16,309.02 × 6,513.05
  4. Step 4: Simplify right side
    11,817.89x = 106,221,381.17
  5. Step 5: Solve for x
    x = 106,221,381.17/11,817.89
  6. Step 6: Final answer
    x = 8,988.19

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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.