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Finding the Fourth Proportional to 10,063.38, 13,888.07 and 6,085.47

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Solution

The fourth proportional to 10,063.38, 13,888.07 and 6,085.47 is: 8,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.38 : 13,888.07 = 6,085.47 : x
  2. Step 2: Convert to fraction form
    10,063.38/13,888.07 = 6,085.47/x
  3. Step 3: Cross multiply
    10,063.38x = 13,888.07 × 6,085.47
  4. Step 4: Simplify right side
    10,063.38x = 84,515,433.34
  5. Step 5: Solve for x
    x = 84,515,433.34/10,063.38
  6. Step 6: Final answer
    x = 8,398.31

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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.