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Finding the Fourth Proportional to 10,428.70, 14,380.32 and 7,443.31

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Solution

The fourth proportional to 10,428.70, 14,380.32 and 7,443.31 is: 10,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.70 : 14,380.32 = 7,443.31 : x
  2. Step 2: Convert to fraction form
    10,428.70/14,380.32 = 7,443.31/x
  3. Step 3: Cross multiply
    10,428.70x = 14,380.32 × 7,443.31
  4. Step 4: Simplify right side
    10,428.70x = 107,037,179.66
  5. Step 5: Solve for x
    x = 107,037,179.66/10,428.70
  6. Step 6: Final answer
    x = 10,263.71

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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.