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Finding the Fourth Proportional to 7,157.61, 10,738.73 and 3,460.25

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Solution

The fourth proportional to 7,157.61, 10,738.73 and 3,460.25 is: 5,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.61 : 10,738.73 = 3,460.25 : x
  2. Step 2: Convert to fraction form
    7,157.61/10,738.73 = 3,460.25/x
  3. Step 3: Cross multiply
    7,157.61x = 10,738.73 × 3,460.25
  4. Step 4: Simplify right side
    7,157.61x = 37,158,725.98
  5. Step 5: Solve for x
    x = 37,158,725.98/7,157.61
  6. Step 6: Final answer
    x = 5,191.50

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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.