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Finding the Fourth Proportional to 6,701.67, 10,057.37 and 4,714.23

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Solution

The fourth proportional to 6,701.67, 10,057.37 and 4,714.23 is: 7,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.67 : 10,057.37 = 4,714.23 : x
  2. Step 2: Convert to fraction form
    6,701.67/10,057.37 = 4,714.23/x
  3. Step 3: Cross multiply
    6,701.67x = 10,057.37 × 4,714.23
  4. Step 4: Simplify right side
    6,701.67x = 47,412,769.52
  5. Step 5: Solve for x
    x = 47,412,769.52/6,701.67
  6. Step 6: Final answer
    x = 7,074.77

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