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Finding the Fourth Proportional to 11,283.48, 16,911 and 7,997.40

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Solution

The fourth proportional to 11,283.48, 16,911 and 7,997.40 is: 11,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.48 : 16,911 = 7,997.40 : x
  2. Step 2: Convert to fraction form
    11,283.48/16,911 = 7,997.40/x
  3. Step 3: Cross multiply
    11,283.48x = 16,911 × 7,997.40
  4. Step 4: Simplify right side
    11,283.48x = 135,244,031.40
  5. Step 5: Solve for x
    x = 135,244,031.40/11,283.48
  6. Step 6: Final answer
    x = 11,986.02

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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.