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Finding the Fourth Proportional to 10,047.57, 13,866.34 and 5,571.73

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Solution

The fourth proportional to 10,047.57, 13,866.34 and 5,571.73 is: 7,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.57 : 13,866.34 = 5,571.73 : x
  2. Step 2: Convert to fraction form
    10,047.57/13,866.34 = 5,571.73/x
  3. Step 3: Cross multiply
    10,047.57x = 13,866.34 × 5,571.73
  4. Step 4: Simplify right side
    10,047.57x = 77,259,502.57
  5. Step 5: Solve for x
    x = 77,259,502.57/10,047.57
  6. Step 6: Final answer
    x = 7,689.37

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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.