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Finding the Fourth Proportional to 11,234.63, 16,851.95 and 3,839.16

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Solution

The fourth proportional to 11,234.63, 16,851.95 and 3,839.16 is: 5,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.63 : 16,851.95 = 3,839.16 : x
  2. Step 2: Convert to fraction form
    11,234.63/16,851.95 = 3,839.16/x
  3. Step 3: Cross multiply
    11,234.63x = 16,851.95 × 3,839.16
  4. Step 4: Simplify right side
    11,234.63x = 64,697,341.96
  5. Step 5: Solve for x
    x = 64,697,341.96/11,234.63
  6. Step 6: Final answer
    x = 5,758.74

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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.