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Finding the Fourth Proportional to 11,615.04, 16,018.14 and 8,638.32

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Solution

The fourth proportional to 11,615.04, 16,018.14 and 8,638.32 is: 11,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.04 : 16,018.14 = 8,638.32 : x
  2. Step 2: Convert to fraction form
    11,615.04/16,018.14 = 8,638.32/x
  3. Step 3: Cross multiply
    11,615.04x = 16,018.14 × 8,638.32
  4. Step 4: Simplify right side
    11,615.04x = 138,369,819.12
  5. Step 5: Solve for x
    x = 138,369,819.12/11,615.04
  6. Step 6: Final answer
    x = 11,912.99

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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.