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Finding the Fourth Proportional to 8,597.25, 12,896.48 and 3,403.13

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Solution

The fourth proportional to 8,597.25, 12,896.48 and 3,403.13 is: 5,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.25 : 12,896.48 = 3,403.13 : x
  2. Step 2: Convert to fraction form
    8,597.25/12,896.48 = 3,403.13/x
  3. Step 3: Cross multiply
    8,597.25x = 12,896.48 × 3,403.13
  4. Step 4: Simplify right side
    8,597.25x = 43,888,342.01
  5. Step 5: Solve for x
    x = 43,888,342.01/8,597.25
  6. Step 6: Final answer
    x = 5,104.93

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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.