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Finding the Fourth Proportional to 10,047.88, 13,865.70 and 5,571.68

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Solution

The fourth proportional to 10,047.88, 13,865.70 and 5,571.68 is: 7,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.88 : 13,865.70 = 5,571.68 : x
  2. Step 2: Convert to fraction form
    10,047.88/13,865.70 = 5,571.68/x
  3. Step 3: Cross multiply
    10,047.88x = 13,865.70 × 5,571.68
  4. Step 4: Simplify right side
    10,047.88x = 77,255,243.38
  5. Step 5: Solve for x
    x = 77,255,243.38/10,047.88
  6. Step 6: Final answer
    x = 7,688.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.