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Finding the Fourth Proportional to 7,297.74, 10,941.03 and 4,826.43

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Solution

The fourth proportional to 7,297.74, 10,941.03 and 4,826.43 is: 7,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.74 : 10,941.03 = 4,826.43 : x
  2. Step 2: Convert to fraction form
    7,297.74/10,941.03 = 4,826.43/x
  3. Step 3: Cross multiply
    7,297.74x = 10,941.03 × 4,826.43
  4. Step 4: Simplify right side
    7,297.74x = 52,806,115.42
  5. Step 5: Solve for x
    x = 52,806,115.42/7,297.74
  6. Step 6: Final answer
    x = 7,235.95

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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.