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Finding the Fourth Proportional to 7,238.05, 10,858.23 and 3,078.10

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Solution

The fourth proportional to 7,238.05, 10,858.23 and 3,078.10 is: 4,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.05 : 10,858.23 = 3,078.10 : x
  2. Step 2: Convert to fraction form
    7,238.05/10,858.23 = 3,078.10/x
  3. Step 3: Cross multiply
    7,238.05x = 10,858.23 × 3,078.10
  4. Step 4: Simplify right side
    7,238.05x = 33,422,717.76
  5. Step 5: Solve for x
    x = 33,422,717.76/7,238.05
  6. Step 6: Final answer
    x = 4,617.64

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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.