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Finding the Fourth Proportional to 11,836.76, 16,335.14 and 6,531.76

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Solution

The fourth proportional to 11,836.76, 16,335.14 and 6,531.76 is: 9,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.76 : 16,335.14 = 6,531.76 : x
  2. Step 2: Convert to fraction form
    11,836.76/16,335.14 = 6,531.76/x
  3. Step 3: Cross multiply
    11,836.76x = 16,335.14 × 6,531.76
  4. Step 4: Simplify right side
    11,836.76x = 106,697,214.05
  5. Step 5: Solve for x
    x = 106,697,214.05/11,836.76
  6. Step 6: Final answer
    x = 9,014.06

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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.