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Finding the Fourth Proportional to 11,796.98, 17,689.98 and 6,868.03

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Solution

The fourth proportional to 11,796.98, 17,689.98 and 6,868.03 is: 10,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.98 : 17,689.98 = 6,868.03 : x
  2. Step 2: Convert to fraction form
    11,796.98/17,689.98 = 6,868.03/x
  3. Step 3: Cross multiply
    11,796.98x = 17,689.98 × 6,868.03
  4. Step 4: Simplify right side
    11,796.98x = 121,495,313.34
  5. Step 5: Solve for x
    x = 121,495,313.34/11,796.98
  6. Step 6: Final answer
    x = 10,298.85

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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.