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Finding the Fourth Proportional to 8,201.50, 12,302.64 and 2,655.28

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Solution

The fourth proportional to 8,201.50, 12,302.64 and 2,655.28 is: 3,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.50 : 12,302.64 = 2,655.28 : x
  2. Step 2: Convert to fraction form
    8,201.50/12,302.64 = 2,655.28/x
  3. Step 3: Cross multiply
    8,201.50x = 12,302.64 × 2,655.28
  4. Step 4: Simplify right side
    8,201.50x = 32,666,953.94
  5. Step 5: Solve for x
    x = 32,666,953.94/8,201.50
  6. Step 6: Final answer
    x = 3,983.05

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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.