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Finding the Fourth Proportional to 8,134.86, 11,226.57 and 4,598.38

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Solution

The fourth proportional to 8,134.86, 11,226.57 and 4,598.38 is: 6,346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.86 : 11,226.57 = 4,598.38 : x
  2. Step 2: Convert to fraction form
    8,134.86/11,226.57 = 4,598.38/x
  3. Step 3: Cross multiply
    8,134.86x = 11,226.57 × 4,598.38
  4. Step 4: Simplify right side
    8,134.86x = 51,624,034.96
  5. Step 5: Solve for x
    x = 51,624,034.96/8,134.86
  6. Step 6: Final answer
    x = 6,346.03

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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.