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Finding the Fourth Proportional to 11,254.46, 16,884.11 and 5,710.82

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Solution

The fourth proportional to 11,254.46, 16,884.11 and 5,710.82 is: 8,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254.46 : 16,884.11 = 5,710.82 : x
  2. Step 2: Convert to fraction form
    11,254.46/16,884.11 = 5,710.82/x
  3. Step 3: Cross multiply
    11,254.46x = 16,884.11 × 5,710.82
  4. Step 4: Simplify right side
    11,254.46x = 96,422,000.10
  5. Step 5: Solve for x
    x = 96,422,000.10/11,254.46
  6. Step 6: Final answer
    x = 8,567.45

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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.