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Finding the Fourth Proportional to 7,523.92, 11,285.32 and 3,364.16

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Solution

The fourth proportional to 7,523.92, 11,285.32 and 3,364.16 is: 5,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.92 : 11,285.32 = 3,364.16 : x
  2. Step 2: Convert to fraction form
    7,523.92/11,285.32 = 3,364.16/x
  3. Step 3: Cross multiply
    7,523.92x = 11,285.32 × 3,364.16
  4. Step 4: Simplify right side
    7,523.92x = 37,965,622.13
  5. Step 5: Solve for x
    x = 37,965,622.13/7,523.92
  6. Step 6: Final answer
    x = 5,045.99

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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.