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Finding the Fourth Proportional to 10,147.97, 14,004.14 and 5,671.71

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Solution

The fourth proportional to 10,147.97, 14,004.14 and 5,671.71 is: 7,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.97 : 14,004.14 = 5,671.71 : x
  2. Step 2: Convert to fraction form
    10,147.97/14,004.14 = 5,671.71/x
  3. Step 3: Cross multiply
    10,147.97x = 14,004.14 × 5,671.71
  4. Step 4: Simplify right side
    10,147.97x = 79,427,420.88
  5. Step 5: Solve for x
    x = 79,427,420.88/10,147.97
  6. Step 6: Final answer
    x = 7,826.93

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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.