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Finding the Fourth Proportional to 7,769.74, 11,646.31 and 3,083.26

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Solution

The fourth proportional to 7,769.74, 11,646.31 and 3,083.26 is: 4,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.74 : 11,646.31 = 3,083.26 : x
  2. Step 2: Convert to fraction form
    7,769.74/11,646.31 = 3,083.26/x
  3. Step 3: Cross multiply
    7,769.74x = 11,646.31 × 3,083.26
  4. Step 4: Simplify right side
    7,769.74x = 35,908,601.77
  5. Step 5: Solve for x
    x = 35,908,601.77/7,769.74
  6. Step 6: Final answer
    x = 4,621.60

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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.