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Finding the Fourth Proportional to 8,295.23, 11,449.76 and 5,464.67

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Solution

The fourth proportional to 8,295.23, 11,449.76 and 5,464.67 is: 7,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.23 : 11,449.76 = 5,464.67 : x
  2. Step 2: Convert to fraction form
    8,295.23/11,449.76 = 5,464.67/x
  3. Step 3: Cross multiply
    8,295.23x = 11,449.76 × 5,464.67
  4. Step 4: Simplify right side
    8,295.23x = 62,569,116.39
  5. Step 5: Solve for x
    x = 62,569,116.39/8,295.23
  6. Step 6: Final answer
    x = 7,542.79

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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.