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Finding the Fourth Proportional to 11,668.64, 16,099.96 and 6,888.76

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Solution

The fourth proportional to 11,668.64, 16,099.96 and 6,888.76 is: 9,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.64 : 16,099.96 = 6,888.76 : x
  2. Step 2: Convert to fraction form
    11,668.64/16,099.96 = 6,888.76/x
  3. Step 3: Cross multiply
    11,668.64x = 16,099.96 × 6,888.76
  4. Step 4: Simplify right side
    11,668.64x = 110,908,760.45
  5. Step 5: Solve for x
    x = 110,908,760.45/11,668.64
  6. Step 6: Final answer
    x = 9,504.86

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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.