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Finding the Fourth Proportional to 7,988.04, 11,977.74 and 2,790

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Solution

The fourth proportional to 7,988.04, 11,977.74 and 2,790 is: 4,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.04 : 11,977.74 = 2,790 : x
  2. Step 2: Convert to fraction form
    7,988.04/11,977.74 = 2,790/x
  3. Step 3: Cross multiply
    7,988.04x = 11,977.74 × 2,790
  4. Step 4: Simplify right side
    7,988.04x = 33,417,894.60
  5. Step 5: Solve for x
    x = 33,417,894.60/7,988.04
  6. Step 6: Final answer
    x = 4,183.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.