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Finding the Fourth Proportional to 8,293.48, 11,447.35 and 5,462.92

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Solution

The fourth proportional to 8,293.48, 11,447.35 and 5,462.92 is: 7,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.48 : 11,447.35 = 5,462.92 : x
  2. Step 2: Convert to fraction form
    8,293.48/11,447.35 = 5,462.92/x
  3. Step 3: Cross multiply
    8,293.48x = 11,447.35 × 5,462.92
  4. Step 4: Simplify right side
    8,293.48x = 62,535,900.03
  5. Step 5: Solve for x
    x = 62,535,900.03/8,293.48
  6. Step 6: Final answer
    x = 7,540.37

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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.