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Finding the Fourth Proportional to 7,563.82, 10,437.27 and 4,206.09

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Solution

The fourth proportional to 7,563.82, 10,437.27 and 4,206.09 is: 5,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.82 : 10,437.27 = 4,206.09 : x
  2. Step 2: Convert to fraction form
    7,563.82/10,437.27 = 4,206.09/x
  3. Step 3: Cross multiply
    7,563.82x = 10,437.27 × 4,206.09
  4. Step 4: Simplify right side
    7,563.82x = 43,900,096.97
  5. Step 5: Solve for x
    x = 43,900,096.97/7,563.82
  6. Step 6: Final answer
    x = 5,803.96

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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.