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Finding the Fourth Proportional to 7,873.92, 11,800.35 and 6,884.33

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Solution

The fourth proportional to 7,873.92, 11,800.35 and 6,884.33 is: 10,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.92 : 11,800.35 = 6,884.33 : x
  2. Step 2: Convert to fraction form
    7,873.92/11,800.35 = 6,884.33/x
  3. Step 3: Cross multiply
    7,873.92x = 11,800.35 × 6,884.33
  4. Step 4: Simplify right side
    7,873.92x = 81,237,444.51
  5. Step 5: Solve for x
    x = 81,237,444.51/7,873.92
  6. Step 6: Final answer
    x = 10,317.28

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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.