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Finding the Fourth Proportional to 6,701.41, 10,052.14 and 2,803.08

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Solution

The fourth proportional to 6,701.41, 10,052.14 and 2,803.08 is: 4,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.41 : 10,052.14 = 2,803.08 : x
  2. Step 2: Convert to fraction form
    6,701.41/10,052.14 = 2,803.08/x
  3. Step 3: Cross multiply
    6,701.41x = 10,052.14 × 2,803.08
  4. Step 4: Simplify right side
    6,701.41x = 28,176,945.58
  5. Step 5: Solve for x
    x = 28,176,945.58/6,701.41
  6. Step 6: Final answer
    x = 4,204.63

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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.