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Finding the Fourth Proportional to 7,333.22, 10,993.64 and 4,986.65

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Solution

The fourth proportional to 7,333.22, 10,993.64 and 4,986.65 is: 7,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.22 : 10,993.64 = 4,986.65 : x
  2. Step 2: Convert to fraction form
    7,333.22/10,993.64 = 4,986.65/x
  3. Step 3: Cross multiply
    7,333.22x = 10,993.64 × 4,986.65
  4. Step 4: Simplify right side
    7,333.22x = 54,821,392.40
  5. Step 5: Solve for x
    x = 54,821,392.40/7,333.22
  6. Step 6: Final answer
    x = 7,475.77

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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.