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Finding the Fourth Proportional to 7,739.84, 11,601.87 and 3,053.41

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Solution

The fourth proportional to 7,739.84, 11,601.87 and 3,053.41 is: 4,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.84 : 11,601.87 = 3,053.41 : x
  2. Step 2: Convert to fraction form
    7,739.84/11,601.87 = 3,053.41/x
  3. Step 3: Cross multiply
    7,739.84x = 11,601.87 × 3,053.41
  4. Step 4: Simplify right side
    7,739.84x = 35,425,316.45
  5. Step 5: Solve for x
    x = 35,425,316.45/7,739.84
  6. Step 6: Final answer
    x = 4,577.01

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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.