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Finding the Fourth Proportional to 11,811.25, 16,299.53 and 6,506.07

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Solution

The fourth proportional to 11,811.25, 16,299.53 and 6,506.07 is: 8,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.25 : 16,299.53 = 6,506.07 : x
  2. Step 2: Convert to fraction form
    11,811.25/16,299.53 = 6,506.07/x
  3. Step 3: Cross multiply
    11,811.25x = 16,299.53 × 6,506.07
  4. Step 4: Simplify right side
    11,811.25x = 106,045,883.15
  5. Step 5: Solve for x
    x = 106,045,883.15/11,811.25
  6. Step 6: Final answer
    x = 8,978.38

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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.