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Finding the Fourth Proportional to 7,147.14, 10,712.07 and 3,034.50

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Solution

The fourth proportional to 7,147.14, 10,712.07 and 3,034.50 is: 4,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.14 : 10,712.07 = 3,034.50 : x
  2. Step 2: Convert to fraction form
    7,147.14/10,712.07 = 3,034.50/x
  3. Step 3: Cross multiply
    7,147.14x = 10,712.07 × 3,034.50
  4. Step 4: Simplify right side
    7,147.14x = 32,505,776.42
  5. Step 5: Solve for x
    x = 32,505,776.42/7,147.14
  6. Step 6: Final answer
    x = 4,548.08

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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.