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Finding the Fourth Proportional to 7,571.22, 10,447.56 and 5,582.85

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Solution

The fourth proportional to 7,571.22, 10,447.56 and 5,582.85 is: 7,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.22 : 10,447.56 = 5,582.85 : x
  2. Step 2: Convert to fraction form
    7,571.22/10,447.56 = 5,582.85/x
  3. Step 3: Cross multiply
    7,571.22x = 10,447.56 × 5,582.85
  4. Step 4: Simplify right side
    7,571.22x = 58,327,160.35
  5. Step 5: Solve for x
    x = 58,327,160.35/7,571.22
  6. Step 6: Final answer
    x = 7,703.80

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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.