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Finding the Fourth Proportional to 8,353.83, 11,522.86 and 5,632.94

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Solution

The fourth proportional to 8,353.83, 11,522.86 and 5,632.94 is: 7,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.83 : 11,522.86 = 5,632.94 : x
  2. Step 2: Convert to fraction form
    8,353.83/11,522.86 = 5,632.94/x
  3. Step 3: Cross multiply
    8,353.83x = 11,522.86 × 5,632.94
  4. Step 4: Simplify right side
    8,353.83x = 64,907,593.73
  5. Step 5: Solve for x
    x = 64,907,593.73/8,353.83
  6. Step 6: Final answer
    x = 7,769.80

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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.