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Finding the Fourth Proportional to 11,313.81, 15,620.31 and 7,282.44

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Solution

The fourth proportional to 11,313.81, 15,620.31 and 7,282.44 is: 10,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.81 : 15,620.31 = 7,282.44 : x
  2. Step 2: Convert to fraction form
    11,313.81/15,620.31 = 7,282.44/x
  3. Step 3: Cross multiply
    11,313.81x = 15,620.31 × 7,282.44
  4. Step 4: Simplify right side
    11,313.81x = 113,753,970.36
  5. Step 5: Solve for x
    x = 113,753,970.36/11,313.81
  6. Step 6: Final answer
    x = 10,054.44

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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.