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Finding the Fourth Proportional to 12,884.41, 17,780.11 and 7,508.03

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Solution

The fourth proportional to 12,884.41, 17,780.11 and 7,508.03 is: 10,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.41 : 17,780.11 = 7,508.03 : x
  2. Step 2: Convert to fraction form
    12,884.41/17,780.11 = 7,508.03/x
  3. Step 3: Cross multiply
    12,884.41x = 17,780.11 × 7,508.03
  4. Step 4: Simplify right side
    12,884.41x = 133,493,599.28
  5. Step 5: Solve for x
    x = 133,493,599.28/12,884.41
  6. Step 6: Final answer
    x = 10,360.87

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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.