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Finding the Fourth Proportional to 8,483.12, 12,725.84 and 2,934.98

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Solution

The fourth proportional to 8,483.12, 12,725.84 and 2,934.98 is: 4,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.12 : 12,725.84 = 2,934.98 : x
  2. Step 2: Convert to fraction form
    8,483.12/12,725.84 = 2,934.98/x
  3. Step 3: Cross multiply
    8,483.12x = 12,725.84 × 2,934.98
  4. Step 4: Simplify right side
    8,483.12x = 37,350,085.88
  5. Step 5: Solve for x
    x = 37,350,085.88/8,483.12
  6. Step 6: Final answer
    x = 4,402.87

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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.