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Finding the Fourth Proportional to 10,027.41, 13,828.37 and 7,480.79

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Solution

The fourth proportional to 10,027.41, 13,828.37 and 7,480.79 is: 10,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.41 : 13,828.37 = 7,480.79 : x
  2. Step 2: Convert to fraction form
    10,027.41/13,828.37 = 7,480.79/x
  3. Step 3: Cross multiply
    10,027.41x = 13,828.37 × 7,480.79
  4. Step 4: Simplify right side
    10,027.41x = 103,447,025.47
  5. Step 5: Solve for x
    x = 103,447,025.47/10,027.41
  6. Step 6: Final answer
    x = 10,316.43

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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.