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Finding the Fourth Proportional to 7,496, 11,244.55 and 2,879

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Solution

The fourth proportional to 7,496, 11,244.55 and 2,879 is: 4,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496 : 11,244.55 = 2,879 : x
  2. Step 2: Convert to fraction form
    7,496/11,244.55 = 2,879/x
  3. Step 3: Cross multiply
    7,496x = 11,244.55 × 2,879
  4. Step 4: Simplify right side
    7,496x = 32,373,059.45
  5. Step 5: Solve for x
    x = 32,373,059.45/7,496
  6. Step 6: Final answer
    x = 4,318.71

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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.