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Finding the Fourth Proportional to 11,811.36, 16,299.72 and 6,506.16

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Solution

The fourth proportional to 11,811.36, 16,299.72 and 6,506.16 is: 8,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.36 : 16,299.72 = 6,506.16 : x
  2. Step 2: Convert to fraction form
    11,811.36/16,299.72 = 6,506.16/x
  3. Step 3: Cross multiply
    11,811.36x = 16,299.72 × 6,506.16
  4. Step 4: Simplify right side
    11,811.36x = 106,048,586.28
  5. Step 5: Solve for x
    x = 106,048,586.28/11,811.36
  6. Step 6: Final answer
    x = 8,978.52

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