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Finding the Fourth Proportional to 7,834.08, 11,722.08 and 4,716.12

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Solution

The fourth proportional to 7,834.08, 11,722.08 and 4,716.12 is: 7,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.08 : 11,722.08 = 4,716.12 : x
  2. Step 2: Convert to fraction form
    7,834.08/11,722.08 = 4,716.12/x
  3. Step 3: Cross multiply
    7,834.08x = 11,722.08 × 4,716.12
  4. Step 4: Simplify right side
    7,834.08x = 55,282,735.93
  5. Step 5: Solve for x
    x = 55,282,735.93/7,834.08
  6. Step 6: Final answer
    x = 7,056.70

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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.