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Finding the Fourth Proportional to 10,861.38, 16,281 and 4,284.90

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Solution

The fourth proportional to 10,861.38, 16,281 and 4,284.90 is: 6,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.38 : 16,281 = 4,284.90 : x
  2. Step 2: Convert to fraction form
    10,861.38/16,281 = 4,284.90/x
  3. Step 3: Cross multiply
    10,861.38x = 16,281 × 4,284.90
  4. Step 4: Simplify right side
    10,861.38x = 69,762,456.90
  5. Step 5: Solve for x
    x = 69,762,456.90/10,861.38
  6. Step 6: Final answer
    x = 6,422.98

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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.