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Finding the Fourth Proportional to 10,012.97, 13,814.33 and 6,035.33

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Solution

The fourth proportional to 10,012.97, 13,814.33 and 6,035.33 is: 8,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.97 : 13,814.33 = 6,035.33 : x
  2. Step 2: Convert to fraction form
    10,012.97/13,814.33 = 6,035.33/x
  3. Step 3: Cross multiply
    10,012.97x = 13,814.33 × 6,035.33
  4. Step 4: Simplify right side
    10,012.97x = 83,373,941.03
  5. Step 5: Solve for x
    x = 83,373,941.03/10,012.97
  6. Step 6: Final answer
    x = 8,326.60

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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.