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Finding the Fourth Proportional to 11,246.50, 16,857.99 and 4,580.12

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Solution

The fourth proportional to 11,246.50, 16,857.99 and 4,580.12 is: 6,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.50 : 16,857.99 = 4,580.12 : x
  2. Step 2: Convert to fraction form
    11,246.50/16,857.99 = 4,580.12/x
  3. Step 3: Cross multiply
    11,246.50x = 16,857.99 × 4,580.12
  4. Step 4: Simplify right side
    11,246.50x = 77,211,617.16
  5. Step 5: Solve for x
    x = 77,211,617.16/11,246.50
  6. Step 6: Final answer
    x = 6,865.39

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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.