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Finding the Fourth Proportional to 7,988.88, 11,983.06 and 2,442

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Solution

The fourth proportional to 7,988.88, 11,983.06 and 2,442 is: 3,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.88 : 11,983.06 = 2,442 : x
  2. Step 2: Convert to fraction form
    7,988.88/11,983.06 = 2,442/x
  3. Step 3: Cross multiply
    7,988.88x = 11,983.06 × 2,442
  4. Step 4: Simplify right side
    7,988.88x = 29,262,626.42
  5. Step 5: Solve for x
    x = 29,262,626.42/7,988.88
  6. Step 6: Final answer
    x = 3,662.92

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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.