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Finding the Fourth Proportional to 8,575.36, 11,839.62 and 5,746.42

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Solution

The fourth proportional to 8,575.36, 11,839.62 and 5,746.42 is: 7,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.36 : 11,839.62 = 5,746.42 : x
  2. Step 2: Convert to fraction form
    8,575.36/11,839.62 = 5,746.42/x
  3. Step 3: Cross multiply
    8,575.36x = 11,839.62 × 5,746.42
  4. Step 4: Simplify right side
    8,575.36x = 68,035,429.16
  5. Step 5: Solve for x
    x = 68,035,429.16/8,575.36
  6. Step 6: Final answer
    x = 7,933.83

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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.