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Finding the Fourth Proportional to 10,952.80, 16,404.90 and 8,474.20

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Solution

The fourth proportional to 10,952.80, 16,404.90 and 8,474.20 is: 12,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.80 : 16,404.90 = 8,474.20 : x
  2. Step 2: Convert to fraction form
    10,952.80/16,404.90 = 8,474.20/x
  3. Step 3: Cross multiply
    10,952.80x = 16,404.90 × 8,474.20
  4. Step 4: Simplify right side
    10,952.80x = 139,018,403.58
  5. Step 5: Solve for x
    x = 139,018,403.58/10,952.80
  6. Step 6: Final answer
    x = 12,692.50

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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.