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Finding the Fourth Proportional to 8,692.40, 13,042.98 and 3,431.18

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Solution

The fourth proportional to 8,692.40, 13,042.98 and 3,431.18 is: 5,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.40 : 13,042.98 = 3,431.18 : x
  2. Step 2: Convert to fraction form
    8,692.40/13,042.98 = 3,431.18/x
  3. Step 3: Cross multiply
    8,692.40x = 13,042.98 × 3,431.18
  4. Step 4: Simplify right side
    8,692.40x = 44,752,746.90
  5. Step 5: Solve for x
    x = 44,752,746.90/8,692.40
  6. Step 6: Final answer
    x = 5,148.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.