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Finding the Fourth Proportional to 10,970.98, 16,456.48 and 3,179.80

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Solution

The fourth proportional to 10,970.98, 16,456.48 and 3,179.80 is: 4,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.98 : 16,456.48 = 3,179.80 : x
  2. Step 2: Convert to fraction form
    10,970.98/16,456.48 = 3,179.80/x
  3. Step 3: Cross multiply
    10,970.98x = 16,456.48 × 3,179.80
  4. Step 4: Simplify right side
    10,970.98x = 52,328,315.10
  5. Step 5: Solve for x
    x = 52,328,315.10/10,970.98
  6. Step 6: Final answer
    x = 4,769.70

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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.