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Finding the Fourth Proportional to 10,427.76, 14,380.96 and 6,894.56

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Solution

The fourth proportional to 10,427.76, 14,380.96 and 6,894.56 is: 9,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.76 : 14,380.96 = 6,894.56 : x
  2. Step 2: Convert to fraction form
    10,427.76/14,380.96 = 6,894.56/x
  3. Step 3: Cross multiply
    10,427.76x = 14,380.96 × 6,894.56
  4. Step 4: Simplify right side
    10,427.76x = 99,150,391.58
  5. Step 5: Solve for x
    x = 99,150,391.58/10,427.76
  6. Step 6: Final answer
    x = 9,508.31

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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.