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Finding the Fourth Proportional to 11,667.96, 16,101.90 and 6,699

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Solution

The fourth proportional to 11,667.96, 16,101.90 and 6,699 is: 9,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.96 : 16,101.90 = 6,699 : x
  2. Step 2: Convert to fraction form
    11,667.96/16,101.90 = 6,699/x
  3. Step 3: Cross multiply
    11,667.96x = 16,101.90 × 6,699
  4. Step 4: Simplify right side
    11,667.96x = 107,866,628.10
  5. Step 5: Solve for x
    x = 107,866,628.10/11,667.96
  6. Step 6: Final answer
    x = 9,244.69

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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.