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Finding the Fourth Proportional to 10,475.85, 14,456.61 and 5,938.51

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Solution

The fourth proportional to 10,475.85, 14,456.61 and 5,938.51 is: 8,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.85 : 14,456.61 = 5,938.51 : x
  2. Step 2: Convert to fraction form
    10,475.85/14,456.61 = 5,938.51/x
  3. Step 3: Cross multiply
    10,475.85x = 14,456.61 × 5,938.51
  4. Step 4: Simplify right side
    10,475.85x = 85,850,723.05
  5. Step 5: Solve for x
    x = 85,850,723.05/10,475.85
  6. Step 6: Final answer
    x = 8,195.11

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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.