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Finding the Fourth Proportional to 7,013.84, 10,518.95 and 2,082.33

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Solution

The fourth proportional to 7,013.84, 10,518.95 and 2,082.33 is: 3,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.84 : 10,518.95 = 2,082.33 : x
  2. Step 2: Convert to fraction form
    7,013.84/10,518.95 = 2,082.33/x
  3. Step 3: Cross multiply
    7,013.84x = 10,518.95 × 2,082.33
  4. Step 4: Simplify right side
    7,013.84x = 21,903,930.36
  5. Step 5: Solve for x
    x = 21,903,930.36/7,013.84
  6. Step 6: Final answer
    x = 3,122.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.