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Finding the Fourth Proportional to 7,348.03, 11,023.86 and 3,447.88

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Solution

The fourth proportional to 7,348.03, 11,023.86 and 3,447.88 is: 5,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.03 : 11,023.86 = 3,447.88 : x
  2. Step 2: Convert to fraction form
    7,348.03/11,023.86 = 3,447.88/x
  3. Step 3: Cross multiply
    7,348.03x = 11,023.86 × 3,447.88
  4. Step 4: Simplify right side
    7,348.03x = 38,008,946.42
  5. Step 5: Solve for x
    x = 38,008,946.42/7,348.03
  6. Step 6: Final answer
    x = 5,172.67

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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.