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Finding the Fourth Proportional to 10,493.60, 15,722.23 and 7,367.67

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Solution

The fourth proportional to 10,493.60, 15,722.23 and 7,367.67 is: 11,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.60 : 15,722.23 = 7,367.67 : x
  2. Step 2: Convert to fraction form
    10,493.60/15,722.23 = 7,367.67/x
  3. Step 3: Cross multiply
    10,493.60x = 15,722.23 × 7,367.67
  4. Step 4: Simplify right side
    10,493.60x = 115,836,202.30
  5. Step 5: Solve for x
    x = 115,836,202.30/10,493.60
  6. Step 6: Final answer
    x = 11,038.75

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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.