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Finding the Fourth Proportional to 7,302.28, 10,074.72 and 4,157.80

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Solution

The fourth proportional to 7,302.28, 10,074.72 and 4,157.80 is: 5,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.28 : 10,074.72 = 4,157.80 : x
  2. Step 2: Convert to fraction form
    7,302.28/10,074.72 = 4,157.80/x
  3. Step 3: Cross multiply
    7,302.28x = 10,074.72 × 4,157.80
  4. Step 4: Simplify right side
    7,302.28x = 41,888,670.82
  5. Step 5: Solve for x
    x = 41,888,670.82/7,302.28
  6. Step 6: Final answer
    x = 5,736.38

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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.