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Finding the Fourth Proportional to 7,571.85, 11,359.67 and 7,446.29

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Solution

The fourth proportional to 7,571.85, 11,359.67 and 7,446.29 is: 11,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.85 : 11,359.67 = 7,446.29 : x
  2. Step 2: Convert to fraction form
    7,571.85/11,359.67 = 7,446.29/x
  3. Step 3: Cross multiply
    7,571.85x = 11,359.67 × 7,446.29
  4. Step 4: Simplify right side
    7,571.85x = 84,587,303.09
  5. Step 5: Solve for x
    x = 84,587,303.09/7,571.85
  6. Step 6: Final answer
    x = 11,171.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.