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Finding the Fourth Proportional to 8,397.96, 11,589.84 and 5,748.96

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Solution

The fourth proportional to 8,397.96, 11,589.84 and 5,748.96 is: 7,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.96 : 11,589.84 = 5,748.96 : x
  2. Step 2: Convert to fraction form
    8,397.96/11,589.84 = 5,748.96/x
  3. Step 3: Cross multiply
    8,397.96x = 11,589.84 × 5,748.96
  4. Step 4: Simplify right side
    8,397.96x = 66,629,526.57
  5. Step 5: Solve for x
    x = 66,629,526.57/8,397.96
  6. Step 6: Final answer
    x = 7,934.01

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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.