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Finding the Fourth Proportional to 10,956.80, 16,410.90 and 8,478.20

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Solution

The fourth proportional to 10,956.80, 16,410.90 and 8,478.20 is: 12,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.80 : 16,410.90 = 8,478.20 : x
  2. Step 2: Convert to fraction form
    10,956.80/16,410.90 = 8,478.20/x
  3. Step 3: Cross multiply
    10,956.80x = 16,410.90 × 8,478.20
  4. Step 4: Simplify right side
    10,956.80x = 139,134,892.38
  5. Step 5: Solve for x
    x = 139,134,892.38/10,956.80
  6. Step 6: Final answer
    x = 12,698.50

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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.