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Finding the Fourth Proportional to 6,920.34, 10,380.51 and 1,726.23

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Solution

The fourth proportional to 6,920.34, 10,380.51 and 1,726.23 is: 2,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.34 : 10,380.51 = 1,726.23 : x
  2. Step 2: Convert to fraction form
    6,920.34/10,380.51 = 1,726.23/x
  3. Step 3: Cross multiply
    6,920.34x = 10,380.51 × 1,726.23
  4. Step 4: Simplify right side
    6,920.34x = 17,919,147.78
  5. Step 5: Solve for x
    x = 17,919,147.78/6,920.34
  6. Step 6: Final answer
    x = 2,589.35

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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.