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Finding the Fourth Proportional to 10,821.57, 14,936.10 and 6,840.15

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Solution

The fourth proportional to 10,821.57, 14,936.10 and 6,840.15 is: 9,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.57 : 14,936.10 = 6,840.15 : x
  2. Step 2: Convert to fraction form
    10,821.57/14,936.10 = 6,840.15/x
  3. Step 3: Cross multiply
    10,821.57x = 14,936.10 × 6,840.15
  4. Step 4: Simplify right side
    10,821.57x = 102,165,164.42
  5. Step 5: Solve for x
    x = 102,165,164.42/10,821.57
  6. Step 6: Final answer
    x = 9,440.88

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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.