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Finding the Fourth Proportional to 6,705.56, 10,057.88 and 2,025.70

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Solution

The fourth proportional to 6,705.56, 10,057.88 and 2,025.70 is: 3,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.56 : 10,057.88 = 2,025.70 : x
  2. Step 2: Convert to fraction form
    6,705.56/10,057.88 = 2,025.70/x
  3. Step 3: Cross multiply
    6,705.56x = 10,057.88 × 2,025.70
  4. Step 4: Simplify right side
    6,705.56x = 20,374,247.52
  5. Step 5: Solve for x
    x = 20,374,247.52/6,705.56
  6. Step 6: Final answer
    x = 3,038.41

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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.