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Finding the Fourth Proportional to 10,661.07, 14,712.36 and 5,945.46

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Solution

The fourth proportional to 10,661.07, 14,712.36 and 5,945.46 is: 8,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.07 : 14,712.36 = 5,945.46 : x
  2. Step 2: Convert to fraction form
    10,661.07/14,712.36 = 5,945.46/x
  3. Step 3: Cross multiply
    10,661.07x = 14,712.36 × 5,945.46
  4. Step 4: Simplify right side
    10,661.07x = 87,471,747.89
  5. Step 5: Solve for x
    x = 87,471,747.89/10,661.07
  6. Step 6: Final answer
    x = 8,204.78

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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.