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Finding the Fourth Proportional to 8,365.86, 11,540.79 and 7,039.08

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Solution

The fourth proportional to 8,365.86, 11,540.79 and 7,039.08 is: 9,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.86 : 11,540.79 = 7,039.08 : x
  2. Step 2: Convert to fraction form
    8,365.86/11,540.79 = 7,039.08/x
  3. Step 3: Cross multiply
    8,365.86x = 11,540.79 × 7,039.08
  4. Step 4: Simplify right side
    8,365.86x = 81,236,544.07
  5. Step 5: Solve for x
    x = 81,236,544.07/8,365.86
  6. Step 6: Final answer
    x = 9,710.48

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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.