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Finding the Fourth Proportional to 10,430.85, 14,391.39 and 5,954.34

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Solution

The fourth proportional to 10,430.85, 14,391.39 and 5,954.34 is: 8,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.85 : 14,391.39 = 5,954.34 : x
  2. Step 2: Convert to fraction form
    10,430.85/14,391.39 = 5,954.34/x
  3. Step 3: Cross multiply
    10,430.85x = 14,391.39 × 5,954.34
  4. Step 4: Simplify right side
    10,430.85x = 85,691,229.13
  5. Step 5: Solve for x
    x = 85,691,229.13/10,430.85
  6. Step 6: Final answer
    x = 8,215.17

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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.