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Finding the Fourth Proportional to 11,680.77, 17,498.46 and 10,371.81

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Solution

The fourth proportional to 11,680.77, 17,498.46 and 10,371.81 is: 15,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.77 : 17,498.46 = 10,371.81 : x
  2. Step 2: Convert to fraction form
    11,680.77/17,498.46 = 10,371.81/x
  3. Step 3: Cross multiply
    11,680.77x = 17,498.46 × 10,371.81
  4. Step 4: Simplify right side
    11,680.77x = 181,490,702.41
  5. Step 5: Solve for x
    x = 181,490,702.41/11,680.77
  6. Step 6: Final answer
    x = 15,537.56

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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.