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Finding the Fourth Proportional to 7,322.55, 10,975.95 and 3,164.54

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Solution

The fourth proportional to 7,322.55, 10,975.95 and 3,164.54 is: 4,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.55 : 10,975.95 = 3,164.54 : x
  2. Step 2: Convert to fraction form
    7,322.55/10,975.95 = 3,164.54/x
  3. Step 3: Cross multiply
    7,322.55x = 10,975.95 × 3,164.54
  4. Step 4: Simplify right side
    7,322.55x = 34,733,777.93
  5. Step 5: Solve for x
    x = 34,733,777.93/7,322.55
  6. Step 6: Final answer
    x = 4,743.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.