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Finding the Fourth Proportional to 11,355.14, 17,010.82 and 9,277.48

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Solution

The fourth proportional to 11,355.14, 17,010.82 and 9,277.48 is: 13,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.14 : 17,010.82 = 9,277.48 : x
  2. Step 2: Convert to fraction form
    11,355.14/17,010.82 = 9,277.48/x
  3. Step 3: Cross multiply
    11,355.14x = 17,010.82 × 9,277.48
  4. Step 4: Simplify right side
    11,355.14x = 157,817,542.33
  5. Step 5: Solve for x
    x = 157,817,542.33/11,355.14
  6. Step 6: Final answer
    x = 13,898.34

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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.