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Finding the Fourth Proportional to 7,726.44, 11,594.40 and 3,343.80

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Solution

The fourth proportional to 7,726.44, 11,594.40 and 3,343.80 is: 5,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.44 : 11,594.40 = 3,343.80 : x
  2. Step 2: Convert to fraction form
    7,726.44/11,594.40 = 3,343.80/x
  3. Step 3: Cross multiply
    7,726.44x = 11,594.40 × 3,343.80
  4. Step 4: Simplify right side
    7,726.44x = 38,769,354.72
  5. Step 5: Solve for x
    x = 38,769,354.72/7,726.44
  6. Step 6: Final answer
    x = 5,017.75

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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.