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Finding the Fourth Proportional to 7,723, 10,659.09 and 4,579.39

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Solution

The fourth proportional to 7,723, 10,659.09 and 4,579.39 is: 6,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723 : 10,659.09 = 4,579.39 : x
  2. Step 2: Convert to fraction form
    7,723/10,659.09 = 4,579.39/x
  3. Step 3: Cross multiply
    7,723x = 10,659.09 × 4,579.39
  4. Step 4: Simplify right side
    7,723x = 48,812,130.16
  5. Step 5: Solve for x
    x = 48,812,130.16/7,723
  6. Step 6: Final answer
    x = 6,320.36

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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.