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Finding the Fourth Proportional to 7,883.73, 11,825.53 and 5,411.00

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Solution

The fourth proportional to 7,883.73, 11,825.53 and 5,411.00 is: 8,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.73 : 11,825.53 = 5,411.00 : x
  2. Step 2: Convert to fraction form
    7,883.73/11,825.53 = 5,411.00/x
  3. Step 3: Cross multiply
    7,883.73x = 11,825.53 × 5,411.00
  4. Step 4: Simplify right side
    7,883.73x = 63,987,958.87
  5. Step 5: Solve for x
    x = 63,987,958.87/7,883.73
  6. Step 6: Final answer
    x = 8,116.46

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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.