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Finding the Fourth Proportional to 7,833.52, 10,799.79 and 6,223.77

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Solution

The fourth proportional to 7,833.52, 10,799.79 and 6,223.77 is: 8,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.52 : 10,799.79 = 6,223.77 : x
  2. Step 2: Convert to fraction form
    7,833.52/10,799.79 = 6,223.77/x
  3. Step 3: Cross multiply
    7,833.52x = 10,799.79 × 6,223.77
  4. Step 4: Simplify right side
    7,833.52x = 67,215,409.01
  5. Step 5: Solve for x
    x = 67,215,409.01/7,833.52
  6. Step 6: Final answer
    x = 8,580.49

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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.