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Finding the Fourth Proportional to 6,701.44, 10,056.77 and 3,007.80

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Solution

The fourth proportional to 6,701.44, 10,056.77 and 3,007.80 is: 4,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.44 : 10,056.77 = 3,007.80 : x
  2. Step 2: Convert to fraction form
    6,701.44/10,056.77 = 3,007.80/x
  3. Step 3: Cross multiply
    6,701.44x = 10,056.77 × 3,007.80
  4. Step 4: Simplify right side
    6,701.44x = 30,248,687.48
  5. Step 5: Solve for x
    x = 30,248,687.48/6,701.44
  6. Step 6: Final answer
    x = 4,513.76

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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.