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Finding the Fourth Proportional to 10,971.60, 16,446.60 and 5,425.80

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Solution

The fourth proportional to 10,971.60, 16,446.60 and 5,425.80 is: 8,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.60 : 16,446.60 = 5,425.80 : x
  2. Step 2: Convert to fraction form
    10,971.60/16,446.60 = 5,425.80/x
  3. Step 3: Cross multiply
    10,971.60x = 16,446.60 × 5,425.80
  4. Step 4: Simplify right side
    10,971.60x = 89,235,962.28
  5. Step 5: Solve for x
    x = 89,235,962.28/10,971.60
  6. Step 6: Final answer
    x = 8,133.36

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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.