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Finding the Fourth Proportional to 8,296.93, 11,453.96 and 5,468.41

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Solution

The fourth proportional to 8,296.93, 11,453.96 and 5,468.41 is: 7,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.93 : 11,453.96 = 5,468.41 : x
  2. Step 2: Convert to fraction form
    8,296.93/11,453.96 = 5,468.41/x
  3. Step 3: Cross multiply
    8,296.93x = 11,453.96 × 5,468.41
  4. Step 4: Simplify right side
    8,296.93x = 62,634,946.63
  5. Step 5: Solve for x
    x = 62,634,946.63/8,296.93
  6. Step 6: Final answer
    x = 7,549.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.