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Finding the Fourth Proportional to 7,723, 10,658.46 and 4,411

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Solution

The fourth proportional to 7,723, 10,658.46 and 4,411 is: 6,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723 : 10,658.46 = 4,411 : x
  2. Step 2: Convert to fraction form
    7,723/10,658.46 = 4,411/x
  3. Step 3: Cross multiply
    7,723x = 10,658.46 × 4,411
  4. Step 4: Simplify right side
    7,723x = 47,014,467.06
  5. Step 5: Solve for x
    x = 47,014,467.06/7,723
  6. Step 6: Final answer
    x = 6,087.59

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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.