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Finding the Fourth Proportional to 10,687.67, 16,031.74 and 3,667.66

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Solution

The fourth proportional to 10,687.67, 16,031.74 and 3,667.66 is: 5,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.67 : 16,031.74 = 3,667.66 : x
  2. Step 2: Convert to fraction form
    10,687.67/16,031.74 = 3,667.66/x
  3. Step 3: Cross multiply
    10,687.67x = 16,031.74 × 3,667.66
  4. Step 4: Simplify right side
    10,687.67x = 58,798,971.53
  5. Step 5: Solve for x
    x = 58,798,971.53/10,687.67
  6. Step 6: Final answer
    x = 5,501.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.