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Finding the Fourth Proportional to 7,364.16, 11,046.59 and 2,433.69

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Solution

The fourth proportional to 7,364.16, 11,046.59 and 2,433.69 is: 3,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.16 : 11,046.59 = 2,433.69 : x
  2. Step 2: Convert to fraction form
    7,364.16/11,046.59 = 2,433.69/x
  3. Step 3: Cross multiply
    7,364.16x = 11,046.59 × 2,433.69
  4. Step 4: Simplify right side
    7,364.16x = 26,883,975.62
  5. Step 5: Solve for x
    x = 26,883,975.62/7,364.16
  6. Step 6: Final answer
    x = 3,650.65

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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.