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Finding the Fourth Proportional to 10,640.36, 15,945.42 and 7,845.06

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Solution

The fourth proportional to 10,640.36, 15,945.42 and 7,845.06 is: 11,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.36 : 15,945.42 = 7,845.06 : x
  2. Step 2: Convert to fraction form
    10,640.36/15,945.42 = 7,845.06/x
  3. Step 3: Cross multiply
    10,640.36x = 15,945.42 × 7,845.06
  4. Step 4: Simplify right side
    10,640.36x = 125,092,776.63
  5. Step 5: Solve for x
    x = 125,092,776.63/10,640.36
  6. Step 6: Final answer
    x = 11,756.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.