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Finding the Fourth Proportional to 10,408.46, 14,359.32 and 6,824.28

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Solution

The fourth proportional to 10,408.46, 14,359.32 and 6,824.28 is: 9,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.46 : 14,359.32 = 6,824.28 : x
  2. Step 2: Convert to fraction form
    10,408.46/14,359.32 = 6,824.28/x
  3. Step 3: Cross multiply
    10,408.46x = 14,359.32 × 6,824.28
  4. Step 4: Simplify right side
    10,408.46x = 97,992,020.29
  5. Step 5: Solve for x
    x = 97,992,020.29/10,408.46
  6. Step 6: Final answer
    x = 9,414.65

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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.