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Finding the Fourth Proportional to 7,478.40, 11,211.84 and 3,777.60

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Solution

The fourth proportional to 7,478.40, 11,211.84 and 3,777.60 is: 5,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.40 : 11,211.84 = 3,777.60 : x
  2. Step 2: Convert to fraction form
    7,478.40/11,211.84 = 3,777.60/x
  3. Step 3: Cross multiply
    7,478.40x = 11,211.84 × 3,777.60
  4. Step 4: Simplify right side
    7,478.40x = 42,353,846.78
  5. Step 5: Solve for x
    x = 42,353,846.78/7,478.40
  6. Step 6: Final answer
    x = 5,663.49

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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.