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Finding the Fourth Proportional to 10,851.80, 14,972.28 and 6,821.96

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Solution

The fourth proportional to 10,851.80, 14,972.28 and 6,821.96 is: 9,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.80 : 14,972.28 = 6,821.96 : x
  2. Step 2: Convert to fraction form
    10,851.80/14,972.28 = 6,821.96/x
  3. Step 3: Cross multiply
    10,851.80x = 14,972.28 × 6,821.96
  4. Step 4: Simplify right side
    10,851.80x = 102,140,295.27
  5. Step 5: Solve for x
    x = 102,140,295.27/10,851.80
  6. Step 6: Final answer
    x = 9,412.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.