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Finding the Fourth Proportional to 7,563.39, 10,437.87 and 4,206.27

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Solution

The fourth proportional to 7,563.39, 10,437.87 and 4,206.27 is: 5,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.39 : 10,437.87 = 4,206.27 : x
  2. Step 2: Convert to fraction form
    7,563.39/10,437.87 = 4,206.27/x
  3. Step 3: Cross multiply
    7,563.39x = 10,437.87 × 4,206.27
  4. Step 4: Simplify right side
    7,563.39x = 43,904,499.44
  5. Step 5: Solve for x
    x = 43,904,499.44/7,563.39
  6. Step 6: Final answer
    x = 5,804.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.