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Finding the Fourth Proportional to 6,725.92, 10,088 and 2,564.16

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Solution

The fourth proportional to 6,725.92, 10,088 and 2,564.16 is: 3,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.92 : 10,088 = 2,564.16 : x
  2. Step 2: Convert to fraction form
    6,725.92/10,088 = 2,564.16/x
  3. Step 3: Cross multiply
    6,725.92x = 10,088 × 2,564.16
  4. Step 4: Simplify right side
    6,725.92x = 25,867,246.08
  5. Step 5: Solve for x
    x = 25,867,246.08/6,725.92
  6. Step 6: Final answer
    x = 3,845.90

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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.