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Finding the Fourth Proportional to 8,412.75, 11,598.81 and 6,894.72

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Solution

The fourth proportional to 8,412.75, 11,598.81 and 6,894.72 is: 9,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.75 : 11,598.81 = 6,894.72 : x
  2. Step 2: Convert to fraction form
    8,412.75/11,598.81 = 6,894.72/x
  3. Step 3: Cross multiply
    8,412.75x = 11,598.81 × 6,894.72
  4. Step 4: Simplify right side
    8,412.75x = 79,970,593.52
  5. Step 5: Solve for x
    x = 79,970,593.52/8,412.75
  6. Step 6: Final answer
    x = 9,505.88

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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.