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Finding the Fourth Proportional to 10,147.80, 14,004.54 and 5,956.68

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Solution

The fourth proportional to 10,147.80, 14,004.54 and 5,956.68 is: 8,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.80 : 14,004.54 = 5,956.68 : x
  2. Step 2: Convert to fraction form
    10,147.80/14,004.54 = 5,956.68/x
  3. Step 3: Cross multiply
    10,147.80x = 14,004.54 × 5,956.68
  4. Step 4: Simplify right side
    10,147.80x = 83,420,563.33
  5. Step 5: Solve for x
    x = 83,420,563.33/10,147.80
  6. Step 6: Final answer
    x = 8,220.56

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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.