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Finding the Fourth Proportional to 7,152.75, 10,729.76 and 1,958.63

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Solution

The fourth proportional to 7,152.75, 10,729.76 and 1,958.63 is: 2,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.75 : 10,729.76 = 1,958.63 : x
  2. Step 2: Convert to fraction form
    7,152.75/10,729.76 = 1,958.63/x
  3. Step 3: Cross multiply
    7,152.75x = 10,729.76 × 1,958.63
  4. Step 4: Simplify right side
    7,152.75x = 21,015,566.39
  5. Step 5: Solve for x
    x = 21,015,566.39/7,152.75
  6. Step 6: Final answer
    x = 2,938.11

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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.