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Finding the Fourth Proportional to 7,131.56, 10,736.99 and 6,179

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Solution

The fourth proportional to 7,131.56, 10,736.99 and 6,179 is: 9,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.56 : 10,736.99 = 6,179 : x
  2. Step 2: Convert to fraction form
    7,131.56/10,736.99 = 6,179/x
  3. Step 3: Cross multiply
    7,131.56x = 10,736.99 × 6,179
  4. Step 4: Simplify right side
    7,131.56x = 66,343,861.21
  5. Step 5: Solve for x
    x = 66,343,861.21/7,131.56
  6. Step 6: Final answer
    x = 9,302.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.