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Finding the Fourth Proportional to 7,675.44, 11,490.68 and 5,833.92

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Solution

The fourth proportional to 7,675.44, 11,490.68 and 5,833.92 is: 8,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.44 : 11,490.68 = 5,833.92 : x
  2. Step 2: Convert to fraction form
    7,675.44/11,490.68 = 5,833.92/x
  3. Step 3: Cross multiply
    7,675.44x = 11,490.68 × 5,833.92
  4. Step 4: Simplify right side
    7,675.44x = 67,035,707.87
  5. Step 5: Solve for x
    x = 67,035,707.87/7,675.44
  6. Step 6: Final answer
    x = 8,733.79

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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.