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Finding the Fourth Proportional to 7,571.51, 11,358.71 and 2,642.56

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Solution

The fourth proportional to 7,571.51, 11,358.71 and 2,642.56 is: 3,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.51 : 11,358.71 = 2,642.56 : x
  2. Step 2: Convert to fraction form
    7,571.51/11,358.71 = 2,642.56/x
  3. Step 3: Cross multiply
    7,571.51x = 11,358.71 × 2,642.56
  4. Step 4: Simplify right side
    7,571.51x = 30,016,072.70
  5. Step 5: Solve for x
    x = 30,016,072.70/7,571.51
  6. Step 6: Final answer
    x = 3,964.34

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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.