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Finding the Fourth Proportional to 8,140.62, 11,234.16 and 4,603.86

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Solution

The fourth proportional to 8,140.62, 11,234.16 and 4,603.86 is: 6,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.62 : 11,234.16 = 4,603.86 : x
  2. Step 2: Convert to fraction form
    8,140.62/11,234.16 = 4,603.86/x
  3. Step 3: Cross multiply
    8,140.62x = 11,234.16 × 4,603.86
  4. Step 4: Simplify right side
    8,140.62x = 51,720,499.86
  5. Step 5: Solve for x
    x = 51,720,499.86/8,140.62
  6. Step 6: Final answer
    x = 6,353.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.