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Finding the Fourth Proportional to 11,285.82, 15,574.68 and 7,313.85

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Solution

The fourth proportional to 11,285.82, 15,574.68 and 7,313.85 is: 10,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.82 : 15,574.68 = 7,313.85 : x
  2. Step 2: Convert to fraction form
    11,285.82/15,574.68 = 7,313.85/x
  3. Step 3: Cross multiply
    11,285.82x = 15,574.68 × 7,313.85
  4. Step 4: Simplify right side
    11,285.82x = 113,910,873.32
  5. Step 5: Solve for x
    x = 113,910,873.32/11,285.82
  6. Step 6: Final answer
    x = 10,093.27

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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.