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Finding the Fourth Proportional to 10,267.98, 15,398.19 and 3,692.40

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Solution

The fourth proportional to 10,267.98, 15,398.19 and 3,692.40 is: 5,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.98 : 15,398.19 = 3,692.40 : x
  2. Step 2: Convert to fraction form
    10,267.98/15,398.19 = 3,692.40/x
  3. Step 3: Cross multiply
    10,267.98x = 15,398.19 × 3,692.40
  4. Step 4: Simplify right side
    10,267.98x = 56,856,276.76
  5. Step 5: Solve for x
    x = 56,856,276.76/10,267.98
  6. Step 6: Final answer
    x = 5,537.24

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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.