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Finding the Fourth Proportional to 10,512.65, 14,507.37 and 5,796.97

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Solution

The fourth proportional to 10,512.65, 14,507.37 and 5,796.97 is: 7,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.65 : 14,507.37 = 5,796.97 : x
  2. Step 2: Convert to fraction form
    10,512.65/14,507.37 = 5,796.97/x
  3. Step 3: Cross multiply
    10,512.65x = 14,507.37 × 5,796.97
  4. Step 4: Simplify right side
    10,512.65x = 84,098,752.40
  5. Step 5: Solve for x
    x = 84,098,752.40/10,512.65
  6. Step 6: Final answer
    x = 7,999.77

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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.