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Finding the Fourth Proportional to 7,832.45, 11,749.22 and 3,152.50

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Solution

The fourth proportional to 7,832.45, 11,749.22 and 3,152.50 is: 4,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.45 : 11,749.22 = 3,152.50 : x
  2. Step 2: Convert to fraction form
    7,832.45/11,749.22 = 3,152.50/x
  3. Step 3: Cross multiply
    7,832.45x = 11,749.22 × 3,152.50
  4. Step 4: Simplify right side
    7,832.45x = 37,039,416.05
  5. Step 5: Solve for x
    x = 37,039,416.05/7,832.45
  6. Step 6: Final answer
    x = 4,728.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.