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Finding the Fourth Proportional to 7,097.54, 10,650.40 and 3,201.94

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Solution

The fourth proportional to 7,097.54, 10,650.40 and 3,201.94 is: 4,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.54 : 10,650.40 = 3,201.94 : x
  2. Step 2: Convert to fraction form
    7,097.54/10,650.40 = 3,201.94/x
  3. Step 3: Cross multiply
    7,097.54x = 10,650.40 × 3,201.94
  4. Step 4: Simplify right side
    7,097.54x = 34,101,907.15
  5. Step 5: Solve for x
    x = 34,101,907.15/7,097.54
  6. Step 6: Final answer
    x = 4,804.75

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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.