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Finding the Fourth Proportional to 7,809.75, 10,777.32 and 4,272.84

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Solution

The fourth proportional to 7,809.75, 10,777.32 and 4,272.84 is: 5,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.75 : 10,777.32 = 4,272.84 : x
  2. Step 2: Convert to fraction form
    7,809.75/10,777.32 = 4,272.84/x
  3. Step 3: Cross multiply
    7,809.75x = 10,777.32 × 4,272.84
  4. Step 4: Simplify right side
    7,809.75x = 46,049,763.99
  5. Step 5: Solve for x
    x = 46,049,763.99/7,809.75
  6. Step 6: Final answer
    x = 5,896.45

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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.