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Finding the Fourth Proportional to 10,796.70, 14,896.35 and 7,440.42

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Solution

The fourth proportional to 10,796.70, 14,896.35 and 7,440.42 is: 10,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.70 : 14,896.35 = 7,440.42 : x
  2. Step 2: Convert to fraction form
    10,796.70/14,896.35 = 7,440.42/x
  3. Step 3: Cross multiply
    10,796.70x = 14,896.35 × 7,440.42
  4. Step 4: Simplify right side
    10,796.70x = 110,835,100.47
  5. Step 5: Solve for x
    x = 110,835,100.47/10,796.70
  6. Step 6: Final answer
    x = 10,265.65

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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.