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Finding the Fourth Proportional to 8,370.25, 11,548.63 and 5,980.96

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Solution

The fourth proportional to 8,370.25, 11,548.63 and 5,980.96 is: 8,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.25 : 11,548.63 = 5,980.96 : x
  2. Step 2: Convert to fraction form
    8,370.25/11,548.63 = 5,980.96/x
  3. Step 3: Cross multiply
    8,370.25x = 11,548.63 × 5,980.96
  4. Step 4: Simplify right side
    8,370.25x = 69,071,817.39
  5. Step 5: Solve for x
    x = 69,071,817.39/8,370.25
  6. Step 6: Final answer
    x = 8,252.06

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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.