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Finding the Fourth Proportional to 11,577.31, 15,976.99 and 7,098.48

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Solution

The fourth proportional to 11,577.31, 15,976.99 and 7,098.48 is: 9,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.31 : 15,976.99 = 7,098.48 : x
  2. Step 2: Convert to fraction form
    11,577.31/15,976.99 = 7,098.48/x
  3. Step 3: Cross multiply
    11,577.31x = 15,976.99 × 7,098.48
  4. Step 4: Simplify right side
    11,577.31x = 113,412,412.76
  5. Step 5: Solve for x
    x = 113,412,412.76/11,577.31
  6. Step 6: Final answer
    x = 9,796.09

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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.