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Finding the Fourth Proportional to 8,674.08, 13,014 and 5,763.84

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Solution

The fourth proportional to 8,674.08, 13,014 and 5,763.84 is: 8,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.08 : 13,014 = 5,763.84 : x
  2. Step 2: Convert to fraction form
    8,674.08/13,014 = 5,763.84/x
  3. Step 3: Cross multiply
    8,674.08x = 13,014 × 5,763.84
  4. Step 4: Simplify right side
    8,674.08x = 75,010,613.76
  5. Step 5: Solve for x
    x = 75,010,613.76/8,674.08
  6. Step 6: Final answer
    x = 8,647.67

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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.