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Finding the Fourth Proportional to 7,724.55, 10,660.05 and 4,367.55

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Solution

The fourth proportional to 7,724.55, 10,660.05 and 4,367.55 is: 6,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.55 : 10,660.05 = 4,367.55 : x
  2. Step 2: Convert to fraction form
    7,724.55/10,660.05 = 4,367.55/x
  3. Step 3: Cross multiply
    7,724.55x = 10,660.05 × 4,367.55
  4. Step 4: Simplify right side
    7,724.55x = 46,558,301.38
  5. Step 5: Solve for x
    x = 46,558,301.38/7,724.55
  6. Step 6: Final answer
    x = 6,027.32

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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.