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Finding the Fourth Proportional to 6,191.98, 8,524.11 and 5,364.16

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Solution

The fourth proportional to 6,191.98, 8,524.11 and 5,364.16 is: 7,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.98 : 8,524.11 = 5,364.16 : x
  2. Step 2: Convert to fraction form
    6,191.98/8,524.11 = 5,364.16/x
  3. Step 3: Cross multiply
    6,191.98x = 8,524.11 × 5,364.16
  4. Step 4: Simplify right side
    6,191.98x = 45,724,689.90
  5. Step 5: Solve for x
    x = 45,724,689.90/6,191.98
  6. Step 6: Final answer
    x = 7,384.50

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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.