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Finding the Fourth Proportional to 10,333.79, 14,260.79 and 5,857.45

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Solution

The fourth proportional to 10,333.79, 14,260.79 and 5,857.45 is: 8,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.79 : 14,260.79 = 5,857.45 : x
  2. Step 2: Convert to fraction form
    10,333.79/14,260.79 = 5,857.45/x
  3. Step 3: Cross multiply
    10,333.79x = 14,260.79 × 5,857.45
  4. Step 4: Simplify right side
    10,333.79x = 83,531,843.38
  5. Step 5: Solve for x
    x = 83,531,843.38/10,333.79
  6. Step 6: Final answer
    x = 8,083.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.