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Finding the Fourth Proportional to 8,191.36, 11,300.70 and 5,049.28

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Solution

The fourth proportional to 8,191.36, 11,300.70 and 5,049.28 is: 6,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.36 : 11,300.70 = 5,049.28 : x
  2. Step 2: Convert to fraction form
    8,191.36/11,300.70 = 5,049.28/x
  3. Step 3: Cross multiply
    8,191.36x = 11,300.70 × 5,049.28
  4. Step 4: Simplify right side
    8,191.36x = 57,060,398.50
  5. Step 5: Solve for x
    x = 57,060,398.50/8,191.36
  6. Step 6: Final answer
    x = 6,965.92

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