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Finding the Fourth Proportional to 8,128.72, 12,193.08 and 2,935

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Solution

The fourth proportional to 8,128.72, 12,193.08 and 2,935 is: 4,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.72 : 12,193.08 = 2,935 : x
  2. Step 2: Convert to fraction form
    8,128.72/12,193.08 = 2,935/x
  3. Step 3: Cross multiply
    8,128.72x = 12,193.08 × 2,935
  4. Step 4: Simplify right side
    8,128.72x = 35,786,689.80
  5. Step 5: Solve for x
    x = 35,786,689.80/8,128.72
  6. Step 6: Final answer
    x = 4,402.50

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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.