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Finding the Fourth Proportional to 6,705.72, 10,055.34 and 2,809.08

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Solution

The fourth proportional to 6,705.72, 10,055.34 and 2,809.08 is: 4,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.72 : 10,055.34 = 2,809.08 : x
  2. Step 2: Convert to fraction form
    6,705.72/10,055.34 = 2,809.08/x
  3. Step 3: Cross multiply
    6,705.72x = 10,055.34 × 2,809.08
  4. Step 4: Simplify right side
    6,705.72x = 28,246,254.49
  5. Step 5: Solve for x
    x = 28,246,254.49/6,705.72
  6. Step 6: Final answer
    x = 4,212.26

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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.