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Finding the Fourth Proportional to 10,431.73, 14,408.43 and 7,594.62

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Solution

The fourth proportional to 10,431.73, 14,408.43 and 7,594.62 is: 10,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.73 : 14,408.43 = 7,594.62 : x
  2. Step 2: Convert to fraction form
    10,431.73/14,408.43 = 7,594.62/x
  3. Step 3: Cross multiply
    10,431.73x = 14,408.43 × 7,594.62
  4. Step 4: Simplify right side
    10,431.73x = 109,426,550.65
  5. Step 5: Solve for x
    x = 109,426,550.65/10,431.73
  6. Step 6: Final answer
    x = 10,489.78

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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.