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Finding the Fourth Proportional to 11,896.94, 17,848.02 and 4,877

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Solution

The fourth proportional to 11,896.94, 17,848.02 and 4,877 is: 7,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.94 : 17,848.02 = 4,877 : x
  2. Step 2: Convert to fraction form
    11,896.94/17,848.02 = 4,877/x
  3. Step 3: Cross multiply
    11,896.94x = 17,848.02 × 4,877
  4. Step 4: Simplify right side
    11,896.94x = 87,044,793.54
  5. Step 5: Solve for x
    x = 87,044,793.54/11,896.94
  6. Step 6: Final answer
    x = 7,316.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.