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Finding the Fourth Proportional to 7,988.64, 11,982.96 and 7,977.10

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Solution

The fourth proportional to 7,988.64, 11,982.96 and 7,977.10 is: 11,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.64 : 11,982.96 = 7,977.10 : x
  2. Step 2: Convert to fraction form
    7,988.64/11,982.96 = 7,977.10/x
  3. Step 3: Cross multiply
    7,988.64x = 11,982.96 × 7,977.10
  4. Step 4: Simplify right side
    7,988.64x = 95,589,270.22
  5. Step 5: Solve for x
    x = 95,589,270.22/7,988.64
  6. Step 6: Final answer
    x = 11,965.65

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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.