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Finding the Fourth Proportional to 11,630.09, 16,049.59 and 6,914.41

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Solution

The fourth proportional to 11,630.09, 16,049.59 and 6,914.41 is: 9,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.09 : 16,049.59 = 6,914.41 : x
  2. Step 2: Convert to fraction form
    11,630.09/16,049.59 = 6,914.41/x
  3. Step 3: Cross multiply
    11,630.09x = 16,049.59 × 6,914.41
  4. Step 4: Simplify right side
    11,630.09x = 110,973,388.18
  5. Step 5: Solve for x
    x = 110,973,388.18/11,630.09
  6. Step 6: Final answer
    x = 9,541.92

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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.