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Finding the Fourth Proportional to 10,047.56, 13,865.26 and 5,571.39

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Solution

The fourth proportional to 10,047.56, 13,865.26 and 5,571.39 is: 7,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.56 : 13,865.26 = 5,571.39 : x
  2. Step 2: Convert to fraction form
    10,047.56/13,865.26 = 5,571.39/x
  3. Step 3: Cross multiply
    10,047.56x = 13,865.26 × 5,571.39
  4. Step 4: Simplify right side
    10,047.56x = 77,248,770.91
  5. Step 5: Solve for x
    x = 77,248,770.91/10,047.56
  6. Step 6: Final answer
    x = 7,688.31

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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.