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Finding the Fourth Proportional to 7,785.51, 10,755.71 and 5,103.09

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Solution

The fourth proportional to 7,785.51, 10,755.71 and 5,103.09 is: 7,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.51 : 10,755.71 = 5,103.09 : x
  2. Step 2: Convert to fraction form
    7,785.51/10,755.71 = 5,103.09/x
  3. Step 3: Cross multiply
    7,785.51x = 10,755.71 × 5,103.09
  4. Step 4: Simplify right side
    7,785.51x = 54,887,356.14
  5. Step 5: Solve for x
    x = 54,887,356.14/7,785.51
  6. Step 6: Final answer
    x = 7,049.94

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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.