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Finding the Fourth Proportional to 11,781.69, 17,672.45 and 2,896.98

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Solution

The fourth proportional to 11,781.69, 17,672.45 and 2,896.98 is: 4,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.69 : 17,672.45 = 2,896.98 : x
  2. Step 2: Convert to fraction form
    11,781.69/17,672.45 = 2,896.98/x
  3. Step 3: Cross multiply
    11,781.69x = 17,672.45 × 2,896.98
  4. Step 4: Simplify right side
    11,781.69x = 51,196,719.72
  5. Step 5: Solve for x
    x = 51,196,719.72/11,781.69
  6. Step 6: Final answer
    x = 4,345.45

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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.