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Finding the Fourth Proportional to 10,511.97, 14,507.06 and 5,796.24

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Solution

The fourth proportional to 10,511.97, 14,507.06 and 5,796.24 is: 7,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.97 : 14,507.06 = 5,796.24 : x
  2. Step 2: Convert to fraction form
    10,511.97/14,507.06 = 5,796.24/x
  3. Step 3: Cross multiply
    10,511.97x = 14,507.06 × 5,796.24
  4. Step 4: Simplify right side
    10,511.97x = 84,086,372.47
  5. Step 5: Solve for x
    x = 84,086,372.47/10,511.97
  6. Step 6: Final answer
    x = 7,999.11

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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.