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Finding the Fourth Proportional to 6,527.80, 9,791.72 and 2,145.60

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Solution

The fourth proportional to 6,527.80, 9,791.72 and 2,145.60 is: 3,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.80 : 9,791.72 = 2,145.60 : x
  2. Step 2: Convert to fraction form
    6,527.80/9,791.72 = 2,145.60/x
  3. Step 3: Cross multiply
    6,527.80x = 9,791.72 × 2,145.60
  4. Step 4: Simplify right side
    6,527.80x = 21,009,114.43
  5. Step 5: Solve for x
    x = 21,009,114.43/6,527.80
  6. Step 6: Final answer
    x = 3,218.41

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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.