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Finding the Fourth Proportional to 11,767.32, 16,235.80 and 6,986

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Solution

The fourth proportional to 11,767.32, 16,235.80 and 6,986 is: 9,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.32 : 16,235.80 = 6,986 : x
  2. Step 2: Convert to fraction form
    11,767.32/16,235.80 = 6,986/x
  3. Step 3: Cross multiply
    11,767.32x = 16,235.80 × 6,986
  4. Step 4: Simplify right side
    11,767.32x = 113,423,298.80
  5. Step 5: Solve for x
    x = 113,423,298.80/11,767.32
  6. Step 6: Final answer
    x = 9,638.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.