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Finding the Fourth Proportional to 11,573.70, 15,971.40 and 6,538.44

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Solution

The fourth proportional to 11,573.70, 15,971.40 and 6,538.44 is: 9,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.70 : 15,971.40 = 6,538.44 : x
  2. Step 2: Convert to fraction form
    11,573.70/15,971.40 = 6,538.44/x
  3. Step 3: Cross multiply
    11,573.70x = 15,971.40 × 6,538.44
  4. Step 4: Simplify right side
    11,573.70x = 104,427,960.76
  5. Step 5: Solve for x
    x = 104,427,960.76/11,573.70
  6. Step 6: Final answer
    x = 9,022.87

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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.