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Finding the Fourth Proportional to 7,931.43, 11,896.22 and 2,666.22

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Solution

The fourth proportional to 7,931.43, 11,896.22 and 2,666.22 is: 3,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.43 : 11,896.22 = 2,666.22 : x
  2. Step 2: Convert to fraction form
    7,931.43/11,896.22 = 2,666.22/x
  3. Step 3: Cross multiply
    7,931.43x = 11,896.22 × 2,666.22
  4. Step 4: Simplify right side
    7,931.43x = 31,717,926.36
  5. Step 5: Solve for x
    x = 31,717,926.36/7,931.43
  6. Step 6: Final answer
    x = 3,999.02

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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.