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Finding the Fourth Proportional to 10,512.39, 14,507.16 and 5,796.57

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Solution

The fourth proportional to 10,512.39, 14,507.16 and 5,796.57 is: 7,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.39 : 14,507.16 = 5,796.57 : x
  2. Step 2: Convert to fraction form
    10,512.39/14,507.16 = 5,796.57/x
  3. Step 3: Cross multiply
    10,512.39x = 14,507.16 × 5,796.57
  4. Step 4: Simplify right side
    10,512.39x = 84,091,768.44
  5. Step 5: Solve for x
    x = 84,091,768.44/10,512.39
  6. Step 6: Final answer
    x = 7,999.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.