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Finding the Fourth Proportional to 7,833.54, 10,803.99 and 6,887.31

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Solution

The fourth proportional to 7,833.54, 10,803.99 and 6,887.31 is: 9,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.54 : 10,803.99 = 6,887.31 : x
  2. Step 2: Convert to fraction form
    7,833.54/10,803.99 = 6,887.31/x
  3. Step 3: Cross multiply
    7,833.54x = 10,803.99 × 6,887.31
  4. Step 4: Simplify right side
    7,833.54x = 74,410,428.37
  5. Step 5: Solve for x
    x = 74,410,428.37/7,833.54
  6. Step 6: Final answer
    x = 9,498.95

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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.