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Finding the Fourth Proportional to 7,186.56, 9,895.68 and 6,136.32

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Solution

The fourth proportional to 7,186.56, 9,895.68 and 6,136.32 is: 8,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.56 : 9,895.68 = 6,136.32 : x
  2. Step 2: Convert to fraction form
    7,186.56/9,895.68 = 6,136.32/x
  3. Step 3: Cross multiply
    7,186.56x = 9,895.68 × 6,136.32
  4. Step 4: Simplify right side
    7,186.56x = 60,723,059.10
  5. Step 5: Solve for x
    x = 60,723,059.10/7,186.56
  6. Step 6: Final answer
    x = 8,449.53

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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.