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Finding the Fourth Proportional to 7,825.67, 11,709.06 and 5,490.23

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Solution

The fourth proportional to 7,825.67, 11,709.06 and 5,490.23 is: 8,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.67 : 11,709.06 = 5,490.23 : x
  2. Step 2: Convert to fraction form
    7,825.67/11,709.06 = 5,490.23/x
  3. Step 3: Cross multiply
    7,825.67x = 11,709.06 × 5,490.23
  4. Step 4: Simplify right side
    7,825.67x = 64,285,373.94
  5. Step 5: Solve for x
    x = 64,285,373.94/7,825.67
  6. Step 6: Final answer
    x = 8,214.69

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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.