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Finding the Fourth Proportional to 11,234.04, 16,853.22 and 4,308

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Solution

The fourth proportional to 11,234.04, 16,853.22 and 4,308 is: 6,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.04 : 16,853.22 = 4,308 : x
  2. Step 2: Convert to fraction form
    11,234.04/16,853.22 = 4,308/x
  3. Step 3: Cross multiply
    11,234.04x = 16,853.22 × 4,308
  4. Step 4: Simplify right side
    11,234.04x = 72,603,671.76
  5. Step 5: Solve for x
    x = 72,603,671.76/11,234.04
  6. Step 6: Final answer
    x = 6,462.83

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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.