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Finding the Fourth Proportional to 10,517.51, 14,514.50 and 6,042.17

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Solution

The fourth proportional to 10,517.51, 14,514.50 and 6,042.17 is: 8,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.51 : 14,514.50 = 6,042.17 : x
  2. Step 2: Convert to fraction form
    10,517.51/14,514.50 = 6,042.17/x
  3. Step 3: Cross multiply
    10,517.51x = 14,514.50 × 6,042.17
  4. Step 4: Simplify right side
    10,517.51x = 87,699,127.86
  5. Step 5: Solve for x
    x = 87,699,127.86/10,517.51
  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.