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Finding the Fourth Proportional to 8,191.38, 11,336.59 and 7,994.84

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Solution

The fourth proportional to 8,191.38, 11,336.59 and 7,994.84 is: 11,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.38 : 11,336.59 = 7,994.84 : x
  2. Step 2: Convert to fraction form
    8,191.38/11,336.59 = 7,994.84/x
  3. Step 3: Cross multiply
    8,191.38x = 11,336.59 × 7,994.84
  4. Step 4: Simplify right side
    8,191.38x = 90,634,176.51
  5. Step 5: Solve for x
    x = 90,634,176.51/8,191.38
  6. Step 6: Final answer
    x = 11,064.57

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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.