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Finding the Fourth Proportional to 10,642.80, 15,964.20 and 2,745.30

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Solution

The fourth proportional to 10,642.80, 15,964.20 and 2,745.30 is: 4,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.80 : 15,964.20 = 2,745.30 : x
  2. Step 2: Convert to fraction form
    10,642.80/15,964.20 = 2,745.30/x
  3. Step 3: Cross multiply
    10,642.80x = 15,964.20 × 2,745.30
  4. Step 4: Simplify right side
    10,642.80x = 43,826,518.26
  5. Step 5: Solve for x
    x = 43,826,518.26/10,642.80
  6. Step 6: Final answer
    x = 4,117.95

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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.