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Finding the Fourth Proportional to 11,000.68, 16,497.78 and 8,538.28

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Solution

The fourth proportional to 11,000.68, 16,497.78 and 8,538.28 is: 12,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.68 : 16,497.78 = 8,538.28 : x
  2. Step 2: Convert to fraction form
    11,000.68/16,497.78 = 8,538.28/x
  3. Step 3: Cross multiply
    11,000.68x = 16,497.78 × 8,538.28
  4. Step 4: Simplify right side
    11,000.68x = 140,862,665.02
  5. Step 5: Solve for x
    x = 140,862,665.02/11,000.68
  6. Step 6: Final answer
    x = 12,804.91

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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.