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Finding the Fourth Proportional to 8,309.51, 11,462.72 and 5,123.49

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Solution

The fourth proportional to 8,309.51, 11,462.72 and 5,123.49 is: 7,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.51 : 11,462.72 = 5,123.49 : x
  2. Step 2: Convert to fraction form
    8,309.51/11,462.72 = 5,123.49/x
  3. Step 3: Cross multiply
    8,309.51x = 11,462.72 × 5,123.49
  4. Step 4: Simplify right side
    8,309.51x = 58,729,131.29
  5. Step 5: Solve for x
    x = 58,729,131.29/8,309.51
  6. Step 6: Final answer
    x = 7,067.70

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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.