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Finding the Fourth Proportional to 7,690.39, 10,612.74 and 4,333.21

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Solution

The fourth proportional to 7,690.39, 10,612.74 and 4,333.21 is: 5,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.39 : 10,612.74 = 4,333.21 : x
  2. Step 2: Convert to fraction form
    7,690.39/10,612.74 = 4,333.21/x
  3. Step 3: Cross multiply
    7,690.39x = 10,612.74 × 4,333.21
  4. Step 4: Simplify right side
    7,690.39x = 45,987,231.10
  5. Step 5: Solve for x
    x = 45,987,231.10/7,690.39
  6. Step 6: Final answer
    x = 5,979.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.