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Finding the Fourth Proportional to 8,070.45, 12,109.32 and 4,119.67

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Solution

The fourth proportional to 8,070.45, 12,109.32 and 4,119.67 is: 6,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.45 : 12,109.32 = 4,119.67 : x
  2. Step 2: Convert to fraction form
    8,070.45/12,109.32 = 4,119.67/x
  3. Step 3: Cross multiply
    8,070.45x = 12,109.32 × 4,119.67
  4. Step 4: Simplify right side
    8,070.45x = 49,886,387.50
  5. Step 5: Solve for x
    x = 49,886,387.50/8,070.45
  6. Step 6: Final answer
    x = 6,181.37

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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.