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Finding the Fourth Proportional to 10,147.88, 14,004.04 and 5,671.59

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Solution

The fourth proportional to 10,147.88, 14,004.04 and 5,671.59 is: 7,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.88 : 14,004.04 = 5,671.59 : x
  2. Step 2: Convert to fraction form
    10,147.88/14,004.04 = 5,671.59/x
  3. Step 3: Cross multiply
    10,147.88x = 14,004.04 × 5,671.59
  4. Step 4: Simplify right side
    10,147.88x = 79,425,235.32
  5. Step 5: Solve for x
    x = 79,425,235.32/10,147.88
  6. Step 6: Final answer
    x = 7,826.78

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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.