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Finding the Fourth Proportional to 7,883.83, 10,856.94 and 7,383.56

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Solution

The fourth proportional to 7,883.83, 10,856.94 and 7,383.56 is: 10,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.83 : 10,856.94 = 7,383.56 : x
  2. Step 2: Convert to fraction form
    7,883.83/10,856.94 = 7,383.56/x
  3. Step 3: Cross multiply
    7,883.83x = 10,856.94 × 7,383.56
  4. Step 4: Simplify right side
    7,883.83x = 80,162,785.93
  5. Step 5: Solve for x
    x = 80,162,785.93/7,883.83
  6. Step 6: Final answer
    x = 10,168.00

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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.