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Finding the Fourth Proportional to 7,425.37, 11,138 and 3,042.82

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Solution

The fourth proportional to 7,425.37, 11,138 and 3,042.82 is: 4,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.37 : 11,138 = 3,042.82 : x
  2. Step 2: Convert to fraction form
    7,425.37/11,138 = 3,042.82/x
  3. Step 3: Cross multiply
    7,425.37x = 11,138 × 3,042.82
  4. Step 4: Simplify right side
    7,425.37x = 33,890,873.47
  5. Step 5: Solve for x
    x = 33,890,873.47/7,425.37
  6. Step 6: Final answer
    x = 4,564.20

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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.