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Finding the Fourth Proportional to 10,796.43, 14,898.03 and 7,965.34

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Solution

The fourth proportional to 10,796.43, 14,898.03 and 7,965.34 is: 10,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.43 : 14,898.03 = 7,965.34 : x
  2. Step 2: Convert to fraction form
    10,796.43/14,898.03 = 7,965.34/x
  3. Step 3: Cross multiply
    10,796.43x = 14,898.03 × 7,965.34
  4. Step 4: Simplify right side
    10,796.43x = 118,667,807.17
  5. Step 5: Solve for x
    x = 118,667,807.17/10,796.43
  6. Step 6: Final answer
    x = 10,991.39

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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.