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Finding the Fourth Proportional to 7,728.80, 10,664.77 and 4,584.38

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Solution

The fourth proportional to 7,728.80, 10,664.77 and 4,584.38 is: 6,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.80 : 10,664.77 = 4,584.38 : x
  2. Step 2: Convert to fraction form
    7,728.80/10,664.77 = 4,584.38/x
  3. Step 3: Cross multiply
    7,728.80x = 10,664.77 × 4,584.38
  4. Step 4: Simplify right side
    7,728.80x = 48,891,293.51
  5. Step 5: Solve for x
    x = 48,891,293.51/7,728.80
  6. Step 6: Final answer
    x = 6,325.86

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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.