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Finding the Fourth Proportional to 8,055.92, 12,085.68 and 2,509.20

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Solution

The fourth proportional to 8,055.92, 12,085.68 and 2,509.20 is: 3,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.92 : 12,085.68 = 2,509.20 : x
  2. Step 2: Convert to fraction form
    8,055.92/12,085.68 = 2,509.20/x
  3. Step 3: Cross multiply
    8,055.92x = 12,085.68 × 2,509.20
  4. Step 4: Simplify right side
    8,055.92x = 30,325,388.26
  5. Step 5: Solve for x
    x = 30,325,388.26/8,055.92
  6. Step 6: Final answer
    x = 3,764.36

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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.