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Finding the Fourth Proportional to 7,202.57, 10,776.92 and 5,127.35

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Solution

The fourth proportional to 7,202.57, 10,776.92 and 5,127.35 is: 7,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.57 : 10,776.92 = 5,127.35 : x
  2. Step 2: Convert to fraction form
    7,202.57/10,776.92 = 5,127.35/x
  3. Step 3: Cross multiply
    7,202.57x = 10,776.92 × 5,127.35
  4. Step 4: Simplify right side
    7,202.57x = 55,256,961.24
  5. Step 5: Solve for x
    x = 55,256,961.24/7,202.57
  6. Step 6: Final answer
    x = 7,671.84

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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.