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Finding the Fourth Proportional to 6,886.40, 10,329.60 and 1,692.24

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Solution

The fourth proportional to 6,886.40, 10,329.60 and 1,692.24 is: 2,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.40 : 10,329.60 = 1,692.24 : x
  2. Step 2: Convert to fraction form
    6,886.40/10,329.60 = 1,692.24/x
  3. Step 3: Cross multiply
    6,886.40x = 10,329.60 × 1,692.24
  4. Step 4: Simplify right side
    6,886.40x = 17,480,162.30
  5. Step 5: Solve for x
    x = 17,480,162.30/6,886.40
  6. Step 6: Final answer
    x = 2,538.36

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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.