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Finding the Fourth Proportional to 8,504.36, 12,756.54 and 3,238.13

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Solution

The fourth proportional to 8,504.36, 12,756.54 and 3,238.13 is: 4,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.36 : 12,756.54 = 3,238.13 : x
  2. Step 2: Convert to fraction form
    8,504.36/12,756.54 = 3,238.13/x
  3. Step 3: Cross multiply
    8,504.36x = 12,756.54 × 3,238.13
  4. Step 4: Simplify right side
    8,504.36x = 41,307,271.09
  5. Step 5: Solve for x
    x = 41,307,271.09/8,504.36
  6. Step 6: Final answer
    x = 4,857.19

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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.