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Finding the Fourth Proportional to 11,685.77, 16,126.23 and 7,207.73

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Solution

The fourth proportional to 11,685.77, 16,126.23 and 7,207.73 is: 9,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.77 : 16,126.23 = 7,207.73 : x
  2. Step 2: Convert to fraction form
    11,685.77/16,126.23 = 7,207.73/x
  3. Step 3: Cross multiply
    11,685.77x = 16,126.23 × 7,207.73
  4. Step 4: Simplify right side
    11,685.77x = 116,233,511.76
  5. Step 5: Solve for x
    x = 116,233,511.76/11,685.77
  6. Step 6: Final answer
    x = 9,946.59

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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.