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Finding the Fourth Proportional to 6,701.94, 10,047.92 and 4,070.05

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Solution

The fourth proportional to 6,701.94, 10,047.92 and 4,070.05 is: 6,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.94 : 10,047.92 = 4,070.05 : x
  2. Step 2: Convert to fraction form
    6,701.94/10,047.92 = 4,070.05/x
  3. Step 3: Cross multiply
    6,701.94x = 10,047.92 × 4,070.05
  4. Step 4: Simplify right side
    6,701.94x = 40,895,491.33
  5. Step 5: Solve for x
    x = 40,895,491.33/6,701.94
  6. Step 6: Final answer
    x = 6,102.04

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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.