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Finding the Fourth Proportional to 7,744.96, 11,617.43 and 1,901.51

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Solution

The fourth proportional to 7,744.96, 11,617.43 and 1,901.51 is: 2,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.96 : 11,617.43 = 1,901.51 : x
  2. Step 2: Convert to fraction form
    7,744.96/11,617.43 = 1,901.51/x
  3. Step 3: Cross multiply
    7,744.96x = 11,617.43 × 1,901.51
  4. Step 4: Simplify right side
    7,744.96x = 22,090,659.32
  5. Step 5: Solve for x
    x = 22,090,659.32/7,744.96
  6. Step 6: Final answer
    x = 2,852.26

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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.