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Finding the Fourth Proportional to 11,540.96, 15,916.56 and 9,302

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Solution

The fourth proportional to 11,540.96, 15,916.56 and 9,302 is: 12,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.96 : 15,916.56 = 9,302 : x
  2. Step 2: Convert to fraction form
    11,540.96/15,916.56 = 9,302/x
  3. Step 3: Cross multiply
    11,540.96x = 15,916.56 × 9,302
  4. Step 4: Simplify right side
    11,540.96x = 148,055,841.12
  5. Step 5: Solve for x
    x = 148,055,841.12/11,540.96
  6. Step 6: Final answer
    x = 12,828.73

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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.