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Finding the Fourth Proportional to 7,828.88, 10,809.52 and 5,039.24

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Solution

The fourth proportional to 7,828.88, 10,809.52 and 5,039.24 is: 6,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.88 : 10,809.52 = 5,039.24 : x
  2. Step 2: Convert to fraction form
    7,828.88/10,809.52 = 5,039.24/x
  3. Step 3: Cross multiply
    7,828.88x = 10,809.52 × 5,039.24
  4. Step 4: Simplify right side
    7,828.88x = 54,471,698.92
  5. Step 5: Solve for x
    x = 54,471,698.92/7,828.88
  6. Step 6: Final answer
    x = 6,957.79

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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.