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Finding the Fourth Proportional to 10,003.12, 13,805.13 and 5,755.57

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Solution

The fourth proportional to 10,003.12, 13,805.13 and 5,755.57 is: 7,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.12 : 13,805.13 = 5,755.57 : x
  2. Step 2: Convert to fraction form
    10,003.12/13,805.13 = 5,755.57/x
  3. Step 3: Cross multiply
    10,003.12x = 13,805.13 × 5,755.57
  4. Step 4: Simplify right side
    10,003.12x = 79,456,392.07
  5. Step 5: Solve for x
    x = 79,456,392.07/10,003.12
  6. Step 6: Final answer
    x = 7,943.16

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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.