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Finding the Fourth Proportional to 8,536.44, 12,804.54 and 2,296.26

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Solution

The fourth proportional to 8,536.44, 12,804.54 and 2,296.26 is: 3,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.44 : 12,804.54 = 2,296.26 : x
  2. Step 2: Convert to fraction form
    8,536.44/12,804.54 = 2,296.26/x
  3. Step 3: Cross multiply
    8,536.44x = 12,804.54 × 2,296.26
  4. Step 4: Simplify right side
    8,536.44x = 29,402,553.02
  5. Step 5: Solve for x
    x = 29,402,553.02/8,536.44
  6. Step 6: Final answer
    x = 3,444.36

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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.