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Finding the Fourth Proportional to 7,423.78, 11,133.72 and 2,157.38

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Solution

The fourth proportional to 7,423.78, 11,133.72 and 2,157.38 is: 3,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.78 : 11,133.72 = 2,157.38 : x
  2. Step 2: Convert to fraction form
    7,423.78/11,133.72 = 2,157.38/x
  3. Step 3: Cross multiply
    7,423.78x = 11,133.72 × 2,157.38
  4. Step 4: Simplify right side
    7,423.78x = 24,019,664.85
  5. Step 5: Solve for x
    x = 24,019,664.85/7,423.78
  6. Step 6: Final answer
    x = 3,235.50

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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.