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Finding the Fourth Proportional to 8,538.44, 12,806.10 and 2,296.99

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Solution

The fourth proportional to 8,538.44, 12,806.10 and 2,296.99 is: 3,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.44 : 12,806.10 = 2,296.99 : x
  2. Step 2: Convert to fraction form
    8,538.44/12,806.10 = 2,296.99/x
  3. Step 3: Cross multiply
    8,538.44x = 12,806.10 × 2,296.99
  4. Step 4: Simplify right side
    8,538.44x = 29,415,483.64
  5. Step 5: Solve for x
    x = 29,415,483.64/8,538.44
  6. Step 6: Final answer
    x = 3,445.07

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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.