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Finding the Fourth Proportional to 7,894.33, 11,838.05 and 4,195.67

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Solution

The fourth proportional to 7,894.33, 11,838.05 and 4,195.67 is: 6,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.33 : 11,838.05 = 4,195.67 : x
  2. Step 2: Convert to fraction form
    7,894.33/11,838.05 = 4,195.67/x
  3. Step 3: Cross multiply
    7,894.33x = 11,838.05 × 4,195.67
  4. Step 4: Simplify right side
    7,894.33x = 49,668,551.24
  5. Step 5: Solve for x
    x = 49,668,551.24/7,894.33
  6. Step 6: Final answer
    x = 6,291.67

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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.