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Finding the Fourth Proportional to 7,537.39, 11,313 and 3,842.37

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Solution

The fourth proportional to 7,537.39, 11,313 and 3,842.37 is: 5,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.39 : 11,313 = 3,842.37 : x
  2. Step 2: Convert to fraction form
    7,537.39/11,313 = 3,842.37/x
  3. Step 3: Cross multiply
    7,537.39x = 11,313 × 3,842.37
  4. Step 4: Simplify right side
    7,537.39x = 43,468,731.81
  5. Step 5: Solve for x
    x = 43,468,731.81/7,537.39
  6. Step 6: Final answer
    x = 5,767.08

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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.