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Finding the Fourth Proportional to 7,081.96, 10,622.76 and 1,887.82

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Solution

The fourth proportional to 7,081.96, 10,622.76 and 1,887.82 is: 2,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.96 : 10,622.76 = 1,887.82 : x
  2. Step 2: Convert to fraction form
    7,081.96/10,622.76 = 1,887.82/x
  3. Step 3: Cross multiply
    7,081.96x = 10,622.76 × 1,887.82
  4. Step 4: Simplify right side
    7,081.96x = 20,053,858.78
  5. Step 5: Solve for x
    x = 20,053,858.78/7,081.96
  6. Step 6: Final answer
    x = 2,831.68

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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.