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Finding the Fourth Proportional to 7,744.56, 11,616.66 and 1,901.16

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Solution

The fourth proportional to 7,744.56, 11,616.66 and 1,901.16 is: 2,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.56 : 11,616.66 = 1,901.16 : x
  2. Step 2: Convert to fraction form
    7,744.56/11,616.66 = 1,901.16/x
  3. Step 3: Cross multiply
    7,744.56x = 11,616.66 × 1,901.16
  4. Step 4: Simplify right side
    7,744.56x = 22,085,129.33
  5. Step 5: Solve for x
    x = 22,085,129.33/7,744.56
  6. Step 6: Final answer
    x = 2,851.70

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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.