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Finding the Fourth Proportional to 10,512.34, 14,507.04 and 5,796.62

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Solution

The fourth proportional to 10,512.34, 14,507.04 and 5,796.62 is: 7,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.34 : 14,507.04 = 5,796.62 : x
  2. Step 2: Convert to fraction form
    10,512.34/14,507.04 = 5,796.62/x
  3. Step 3: Cross multiply
    10,512.34x = 14,507.04 × 5,796.62
  4. Step 4: Simplify right side
    10,512.34x = 84,091,798.20
  5. Step 5: Solve for x
    x = 84,091,798.20/10,512.34
  6. Step 6: Final answer
    x = 7,999.34

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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.