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Finding the Fourth Proportional to 7,046.58, 9,723.64 and 4,213.40

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Solution

The fourth proportional to 7,046.58, 9,723.64 and 4,213.40 is: 5,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.58 : 9,723.64 = 4,213.40 : x
  2. Step 2: Convert to fraction form
    7,046.58/9,723.64 = 4,213.40/x
  3. Step 3: Cross multiply
    7,046.58x = 9,723.64 × 4,213.40
  4. Step 4: Simplify right side
    7,046.58x = 40,969,584.78
  5. Step 5: Solve for x
    x = 40,969,584.78/7,046.58
  6. Step 6: Final answer
    x = 5,814.11

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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.