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Finding the Fourth Proportional to 11,886.56, 16,401.48 and 7,638.56

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Solution

The fourth proportional to 11,886.56, 16,401.48 and 7,638.56 is: 10,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.56 : 16,401.48 = 7,638.56 : x
  2. Step 2: Convert to fraction form
    11,886.56/16,401.48 = 7,638.56/x
  3. Step 3: Cross multiply
    11,886.56x = 16,401.48 × 7,638.56
  4. Step 4: Simplify right side
    11,886.56x = 125,283,689.07
  5. Step 5: Solve for x
    x = 125,283,689.07/11,886.56
  6. Step 6: Final answer
    x = 10,539.95

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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.