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Finding the Fourth Proportional to 10,890.69, 16,325.28 and 5,257.98

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Solution

The fourth proportional to 10,890.69, 16,325.28 and 5,257.98 is: 7,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.69 : 16,325.28 = 5,257.98 : x
  2. Step 2: Convert to fraction form
    10,890.69/16,325.28 = 5,257.98/x
  3. Step 3: Cross multiply
    10,890.69x = 16,325.28 × 5,257.98
  4. Step 4: Simplify right side
    10,890.69x = 85,837,995.73
  5. Step 5: Solve for x
    x = 85,837,995.73/10,890.69
  6. Step 6: Final answer
    x = 7,881.78

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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.