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Finding the Fourth Proportional to 10,516.93, 14,513.82 and 6,042.12

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Solution

The fourth proportional to 10,516.93, 14,513.82 and 6,042.12 is: 8,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.93 : 14,513.82 = 6,042.12 : x
  2. Step 2: Convert to fraction form
    10,516.93/14,513.82 = 6,042.12/x
  3. Step 3: Cross multiply
    10,516.93x = 14,513.82 × 6,042.12
  4. Step 4: Simplify right side
    10,516.93x = 87,694,242.10
  5. Step 5: Solve for x
    x = 87,694,242.10/10,516.93
  6. Step 6: Final answer
    x = 8,338.39

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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.