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Finding the Fourth Proportional to 10,821.96, 16,234.02 and 4,980.24

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Solution

The fourth proportional to 10,821.96, 16,234.02 and 4,980.24 is: 7,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.96 : 16,234.02 = 4,980.24 : x
  2. Step 2: Convert to fraction form
    10,821.96/16,234.02 = 4,980.24/x
  3. Step 3: Cross multiply
    10,821.96x = 16,234.02 × 4,980.24
  4. Step 4: Simplify right side
    10,821.96x = 80,849,315.76
  5. Step 5: Solve for x
    x = 80,849,315.76/10,821.96
  6. Step 6: Final answer
    x = 7,470.86

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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.