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Finding the Fourth Proportional to 11,705.71, 17,550.36 and 4,309.20

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Solution

The fourth proportional to 11,705.71, 17,550.36 and 4,309.20 is: 6,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.71 : 17,550.36 = 4,309.20 : x
  2. Step 2: Convert to fraction form
    11,705.71/17,550.36 = 4,309.20/x
  3. Step 3: Cross multiply
    11,705.71x = 17,550.36 × 4,309.20
  4. Step 4: Simplify right side
    11,705.71x = 75,628,011.31
  5. Step 5: Solve for x
    x = 75,628,011.31/11,705.71
  6. Step 6: Final answer
    x = 6,460.78

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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.