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Finding the Fourth Proportional to 7,813.92, 11,725.20 and 3,200.16

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Solution

The fourth proportional to 7,813.92, 11,725.20 and 3,200.16 is: 4,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.92 : 11,725.20 = 3,200.16 : x
  2. Step 2: Convert to fraction form
    7,813.92/11,725.20 = 3,200.16/x
  3. Step 3: Cross multiply
    7,813.92x = 11,725.20 × 3,200.16
  4. Step 4: Simplify right side
    7,813.92x = 37,522,516.03
  5. Step 5: Solve for x
    x = 37,522,516.03/7,813.92
  6. Step 6: Final answer
    x = 4,802.01

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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.