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Finding the Fourth Proportional to 10,416.80, 15,626.57 and 3,847.61

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Solution

The fourth proportional to 10,416.80, 15,626.57 and 3,847.61 is: 5,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.80 : 15,626.57 = 3,847.61 : x
  2. Step 2: Convert to fraction form
    10,416.80/15,626.57 = 3,847.61/x
  3. Step 3: Cross multiply
    10,416.80x = 15,626.57 × 3,847.61
  4. Step 4: Simplify right side
    10,416.80x = 60,124,849.63
  5. Step 5: Solve for x
    x = 60,124,849.63/10,416.80
  6. Step 6: Final answer
    x = 5,771.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.