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Finding the Fourth Proportional to 8,604.96, 12,901.68 and 3,985.44

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Solution

The fourth proportional to 8,604.96, 12,901.68 and 3,985.44 is: 5,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.96 : 12,901.68 = 3,985.44 : x
  2. Step 2: Convert to fraction form
    8,604.96/12,901.68 = 3,985.44/x
  3. Step 3: Cross multiply
    8,604.96x = 12,901.68 × 3,985.44
  4. Step 4: Simplify right side
    8,604.96x = 51,418,871.54
  5. Step 5: Solve for x
    x = 51,418,871.54/8,604.96
  6. Step 6: Final answer
    x = 5,975.49

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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.