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Finding the Fourth Proportional to 7,930.68, 11,896.16 and 2,087.07

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Solution

The fourth proportional to 7,930.68, 11,896.16 and 2,087.07 is: 3,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.68 : 11,896.16 = 2,087.07 : x
  2. Step 2: Convert to fraction form
    7,930.68/11,896.16 = 2,087.07/x
  3. Step 3: Cross multiply
    7,930.68x = 11,896.16 × 2,087.07
  4. Step 4: Simplify right side
    7,930.68x = 24,828,108.22
  5. Step 5: Solve for x
    x = 24,828,108.22/7,930.68
  6. Step 6: Final answer
    x = 3,130.64

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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.