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Finding the Fourth Proportional to 7,238.48, 10,859.34 and 3,078.63

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Solution

The fourth proportional to 7,238.48, 10,859.34 and 3,078.63 is: 4,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.48 : 10,859.34 = 3,078.63 : x
  2. Step 2: Convert to fraction form
    7,238.48/10,859.34 = 3,078.63/x
  3. Step 3: Cross multiply
    7,238.48x = 10,859.34 × 3,078.63
  4. Step 4: Simplify right side
    7,238.48x = 33,431,889.90
  5. Step 5: Solve for x
    x = 33,431,889.90/7,238.48
  6. Step 6: Final answer
    x = 4,618.64

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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.