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Finding the Fourth Proportional to 11,196.12, 16,790.64 and 4,956

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Solution

The fourth proportional to 11,196.12, 16,790.64 and 4,956 is: 7,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.12 : 16,790.64 = 4,956 : x
  2. Step 2: Convert to fraction form
    11,196.12/16,790.64 = 4,956/x
  3. Step 3: Cross multiply
    11,196.12x = 16,790.64 × 4,956
  4. Step 4: Simplify right side
    11,196.12x = 83,214,411.84
  5. Step 5: Solve for x
    x = 83,214,411.84/11,196.12
  6. Step 6: Final answer
    x = 7,432.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.