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Finding the Fourth Proportional to 7,755.13, 10,699.45 and 5,105.22

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Solution

The fourth proportional to 7,755.13, 10,699.45 and 5,105.22 is: 7,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.13 : 10,699.45 = 5,105.22 : x
  2. Step 2: Convert to fraction form
    7,755.13/10,699.45 = 5,105.22/x
  3. Step 3: Cross multiply
    7,755.13x = 10,699.45 × 5,105.22
  4. Step 4: Simplify right side
    7,755.13x = 54,623,046.13
  5. Step 5: Solve for x
    x = 54,623,046.13/7,755.13
  6. Step 6: Final answer
    x = 7,043.47

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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.