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Finding the Fourth Proportional to 11,638.78, 16,069.55 and 10,895.20

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Solution

The fourth proportional to 11,638.78, 16,069.55 and 10,895.20 is: 15,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.78 : 16,069.55 = 10,895.20 : x
  2. Step 2: Convert to fraction form
    11,638.78/16,069.55 = 10,895.20/x
  3. Step 3: Cross multiply
    11,638.78x = 16,069.55 × 10,895.20
  4. Step 4: Simplify right side
    11,638.78x = 175,080,826.34
  5. Step 5: Solve for x
    x = 175,080,826.34/11,638.78
  6. Step 6: Final answer
    x = 15,042.89

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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.