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Finding the Fourth Proportional to 10,138.98, 13,989.33 and 5,946.42

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Solution

The fourth proportional to 10,138.98, 13,989.33 and 5,946.42 is: 8,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.98 : 13,989.33 = 5,946.42 : x
  2. Step 2: Convert to fraction form
    10,138.98/13,989.33 = 5,946.42/x
  3. Step 3: Cross multiply
    10,138.98x = 13,989.33 × 5,946.42
  4. Step 4: Simplify right side
    10,138.98x = 83,186,431.70
  5. Step 5: Solve for x
    x = 83,186,431.70/10,138.98
  6. Step 6: Final answer
    x = 8,204.62

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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.