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Finding the Fourth Proportional to 7,809.24, 10,782.09 and 5,793.18

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Solution

The fourth proportional to 7,809.24, 10,782.09 and 5,793.18 is: 7,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.24 : 10,782.09 = 5,793.18 : x
  2. Step 2: Convert to fraction form
    7,809.24/10,782.09 = 5,793.18/x
  3. Step 3: Cross multiply
    7,809.24x = 10,782.09 × 5,793.18
  4. Step 4: Simplify right side
    7,809.24x = 62,462,588.15
  5. Step 5: Solve for x
    x = 62,462,588.15/7,809.24
  6. Step 6: Final answer
    x = 7,998.55

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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.