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Finding the Fourth Proportional to 8,140.53, 12,211.05 and 2,803.65

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Solution

The fourth proportional to 8,140.53, 12,211.05 and 2,803.65 is: 4,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.53 : 12,211.05 = 2,803.65 : x
  2. Step 2: Convert to fraction form
    8,140.53/12,211.05 = 2,803.65/x
  3. Step 3: Cross multiply
    8,140.53x = 12,211.05 × 2,803.65
  4. Step 4: Simplify right side
    8,140.53x = 34,235,556.12
  5. Step 5: Solve for x
    x = 34,235,556.12/8,140.53
  6. Step 6: Final answer
    x = 4,205.57

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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.