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Finding the Fourth Proportional to 8,720.72, 13,081.08 and 2,564.24

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Solution

The fourth proportional to 8,720.72, 13,081.08 and 2,564.24 is: 3,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.72 : 13,081.08 = 2,564.24 : x
  2. Step 2: Convert to fraction form
    8,720.72/13,081.08 = 2,564.24/x
  3. Step 3: Cross multiply
    8,720.72x = 13,081.08 × 2,564.24
  4. Step 4: Simplify right side
    8,720.72x = 33,543,028.58
  5. Step 5: Solve for x
    x = 33,543,028.58/8,720.72
  6. Step 6: Final answer
    x = 3,846.36

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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.