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Finding the Fourth Proportional to 11,521.44, 15,886.26 and 9,837.72

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Solution

The fourth proportional to 11,521.44, 15,886.26 and 9,837.72 is: 13,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.44 : 15,886.26 = 9,837.72 : x
  2. Step 2: Convert to fraction form
    11,521.44/15,886.26 = 9,837.72/x
  3. Step 3: Cross multiply
    11,521.44x = 15,886.26 × 9,837.72
  4. Step 4: Simplify right side
    11,521.44x = 156,284,577.73
  5. Step 5: Solve for x
    x = 156,284,577.73/11,521.44
  6. Step 6: Final answer
    x = 13,564.67

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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.