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Finding the Fourth Proportional to 11,911.64, 16,436.30 and 6,606.50

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Solution

The fourth proportional to 11,911.64, 16,436.30 and 6,606.50 is: 9,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.64 : 16,436.30 = 6,606.50 : x
  2. Step 2: Convert to fraction form
    11,911.64/16,436.30 = 6,606.50/x
  3. Step 3: Cross multiply
    11,911.64x = 16,436.30 × 6,606.50
  4. Step 4: Simplify right side
    11,911.64x = 108,586,300.74
  5. Step 5: Solve for x
    x = 108,586,300.74/11,911.64
  6. Step 6: Final answer
    x = 9,115.99

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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.