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Finding the Fourth Proportional to 10,333.72, 14,260.21 and 5,857.89

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Solution

The fourth proportional to 10,333.72, 14,260.21 and 5,857.89 is: 8,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.72 : 14,260.21 = 5,857.89 : x
  2. Step 2: Convert to fraction form
    10,333.72/14,260.21 = 5,857.89/x
  3. Step 3: Cross multiply
    10,333.72x = 14,260.21 × 5,857.89
  4. Step 4: Simplify right side
    10,333.72x = 83,534,741.56
  5. Step 5: Solve for x
    x = 83,534,741.56/10,333.72
  6. Step 6: Final answer
    x = 8,083.70

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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.