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Finding the Fourth Proportional to 7,144.10, 9,861.44 and 5,815.50

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Solution

The fourth proportional to 7,144.10, 9,861.44 and 5,815.50 is: 8,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.10 : 9,861.44 = 5,815.50 : x
  2. Step 2: Convert to fraction form
    7,144.10/9,861.44 = 5,815.50/x
  3. Step 3: Cross multiply
    7,144.10x = 9,861.44 × 5,815.50
  4. Step 4: Simplify right side
    7,144.10x = 57,349,204.32
  5. Step 5: Solve for x
    x = 57,349,204.32/7,144.10
  6. Step 6: Final answer
    x = 8,027.49

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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.