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Finding the Fourth Proportional to 7,189.66, 10,777.92 and 2,571.58

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Solution

The fourth proportional to 7,189.66, 10,777.92 and 2,571.58 is: 3,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.66 : 10,777.92 = 2,571.58 : x
  2. Step 2: Convert to fraction form
    7,189.66/10,777.92 = 2,571.58/x
  3. Step 3: Cross multiply
    7,189.66x = 10,777.92 × 2,571.58
  4. Step 4: Simplify right side
    7,189.66x = 27,716,283.51
  5. Step 5: Solve for x
    x = 27,716,283.51/7,189.66
  6. Step 6: Final answer
    x = 3,855.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.