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Finding the Fourth Proportional to 7,211.70, 10,821.15 and 4,094.10

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Solution

The fourth proportional to 7,211.70, 10,821.15 and 4,094.10 is: 6,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.70 : 10,821.15 = 4,094.10 : x
  2. Step 2: Convert to fraction form
    7,211.70/10,821.15 = 4,094.10/x
  3. Step 3: Cross multiply
    7,211.70x = 10,821.15 × 4,094.10
  4. Step 4: Simplify right side
    7,211.70x = 44,302,870.22
  5. Step 5: Solve for x
    x = 44,302,870.22/7,211.70
  6. Step 6: Final answer
    x = 6,143.19

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Why These Related Problems?

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