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Finding the Fourth Proportional to 7,873.93, 11,803.60 and 4,408.75

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Solution

The fourth proportional to 7,873.93, 11,803.60 and 4,408.75 is: 6,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.93 : 11,803.60 = 4,408.75 : x
  2. Step 2: Convert to fraction form
    7,873.93/11,803.60 = 4,408.75/x
  3. Step 3: Cross multiply
    7,873.93x = 11,803.60 × 4,408.75
  4. Step 4: Simplify right side
    7,873.93x = 52,039,121.50
  5. Step 5: Solve for x
    x = 52,039,121.50/7,873.93
  6. Step 6: Final answer
    x = 6,609.04

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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.