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Finding the Fourth Proportional to 7,739.74, 11,609.61 and 3,119.50

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Solution

The fourth proportional to 7,739.74, 11,609.61 and 3,119.50 is: 4,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.74 : 11,609.61 = 3,119.50 : x
  2. Step 2: Convert to fraction form
    7,739.74/11,609.61 = 3,119.50/x
  3. Step 3: Cross multiply
    7,739.74x = 11,609.61 × 3,119.50
  4. Step 4: Simplify right side
    7,739.74x = 36,216,178.40
  5. Step 5: Solve for x
    x = 36,216,178.40/7,739.74
  6. Step 6: Final answer
    x = 4,679.25

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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.