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Finding the Fourth Proportional to 10,147.88, 14,003.42 and 5,671.96

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Solution

The fourth proportional to 10,147.88, 14,003.42 and 5,671.96 is: 7,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.88 : 14,003.42 = 5,671.96 : x
  2. Step 2: Convert to fraction form
    10,147.88/14,003.42 = 5,671.96/x
  3. Step 3: Cross multiply
    10,147.88x = 14,003.42 × 5,671.96
  4. Step 4: Simplify right side
    10,147.88x = 79,426,774.73
  5. Step 5: Solve for x
    x = 79,426,774.73/10,147.88
  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.