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Finding the Fourth Proportional to 7,809.36, 11,712.64 and 2,615.20

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Solution

The fourth proportional to 7,809.36, 11,712.64 and 2,615.20 is: 3,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.36 : 11,712.64 = 2,615.20 : x
  2. Step 2: Convert to fraction form
    7,809.36/11,712.64 = 2,615.20/x
  3. Step 3: Cross multiply
    7,809.36x = 11,712.64 × 2,615.20
  4. Step 4: Simplify right side
    7,809.36x = 30,630,896.13
  5. Step 5: Solve for x
    x = 30,630,896.13/7,809.36
  6. Step 6: Final answer
    x = 3,922.33

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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.