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Finding the Fourth Proportional to 7,238.40, 10,857.60 and 2,045.12

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Solution

The fourth proportional to 7,238.40, 10,857.60 and 2,045.12 is: 3,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.40 : 10,857.60 = 2,045.12 : x
  2. Step 2: Convert to fraction form
    7,238.40/10,857.60 = 2,045.12/x
  3. Step 3: Cross multiply
    7,238.40x = 10,857.60 × 2,045.12
  4. Step 4: Simplify right side
    7,238.40x = 22,205,094.91
  5. Step 5: Solve for x
    x = 22,205,094.91/7,238.40
  6. Step 6: Final answer
    x = 3,067.68

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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.