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Finding the Fourth Proportional to 6,705.32, 10,054.94 and 3,420.20

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Solution

The fourth proportional to 6,705.32, 10,054.94 and 3,420.20 is: 5,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.32 : 10,054.94 = 3,420.20 : x
  2. Step 2: Convert to fraction form
    6,705.32/10,054.94 = 3,420.20/x
  3. Step 3: Cross multiply
    6,705.32x = 10,054.94 × 3,420.20
  4. Step 4: Simplify right side
    6,705.32x = 34,389,905.79
  5. Step 5: Solve for x
    x = 34,389,905.79/6,705.32
  6. Step 6: Final answer
    x = 5,128.75

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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.