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Finding the Fourth Proportional to 10,321.85, 14,244.33 and 5,845.49

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Solution

The fourth proportional to 10,321.85, 14,244.33 and 5,845.49 is: 8,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.85 : 14,244.33 = 5,845.49 : x
  2. Step 2: Convert to fraction form
    10,321.85/14,244.33 = 5,845.49/x
  3. Step 3: Cross multiply
    10,321.85x = 14,244.33 × 5,845.49
  4. Step 4: Simplify right side
    10,321.85x = 83,265,088.57
  5. Step 5: Solve for x
    x = 83,265,088.57/10,321.85
  6. Step 6: Final answer
    x = 8,066.88

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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.