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Finding the Fourth Proportional to 7,642.51, 11,463.72 and 2,448.37

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Solution

The fourth proportional to 7,642.51, 11,463.72 and 2,448.37 is: 3,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.51 : 11,463.72 = 2,448.37 : x
  2. Step 2: Convert to fraction form
    7,642.51/11,463.72 = 2,448.37/x
  3. Step 3: Cross multiply
    7,642.51x = 11,463.72 × 2,448.37
  4. Step 4: Simplify right side
    7,642.51x = 28,067,428.14
  5. Step 5: Solve for x
    x = 28,067,428.14/7,642.51
  6. Step 6: Final answer
    x = 3,672.54

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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.