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Finding the Fourth Proportional to 7,013.57, 10,518.53 and 2,082.06

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Solution

The fourth proportional to 7,013.57, 10,518.53 and 2,082.06 is: 3,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.57 : 10,518.53 = 2,082.06 : x
  2. Step 2: Convert to fraction form
    7,013.57/10,518.53 = 2,082.06/x
  3. Step 3: Cross multiply
    7,013.57x = 10,518.53 × 2,082.06
  4. Step 4: Simplify right side
    7,013.57x = 21,900,200.16
  5. Step 5: Solve for x
    x = 21,900,200.16/7,013.57
  6. Step 6: Final answer
    x = 3,122.55

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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.