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Finding the Fourth Proportional to 7,013.85, 10,520.70 and 2,083.53

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Solution

The fourth proportional to 7,013.85, 10,520.70 and 2,083.53 is: 3,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.85 : 10,520.70 = 2,083.53 : x
  2. Step 2: Convert to fraction form
    7,013.85/10,520.70 = 2,083.53/x
  3. Step 3: Cross multiply
    7,013.85x = 10,520.70 × 2,083.53
  4. Step 4: Simplify right side
    7,013.85x = 21,920,194.07
  5. Step 5: Solve for x
    x = 21,920,194.07/7,013.85
  6. Step 6: Final answer
    x = 3,125.27

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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.