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Finding the Fourth Proportional to 10,125.93, 13,972.82 and 6,149.22

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Solution

The fourth proportional to 10,125.93, 13,972.82 and 6,149.22 is: 8,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.93 : 13,972.82 = 6,149.22 : x
  2. Step 2: Convert to fraction form
    10,125.93/13,972.82 = 6,149.22/x
  3. Step 3: Cross multiply
    10,125.93x = 13,972.82 × 6,149.22
  4. Step 4: Simplify right side
    10,125.93x = 85,921,913.45
  5. Step 5: Solve for x
    x = 85,921,913.45/10,125.93
  6. Step 6: Final answer
    x = 8,485.34

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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.