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Finding the Fourth Proportional to 8,364.42, 11,539.89 and 5,850.54

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Solution

The fourth proportional to 8,364.42, 11,539.89 and 5,850.54 is: 8,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.42 : 11,539.89 = 5,850.54 : x
  2. Step 2: Convert to fraction form
    8,364.42/11,539.89 = 5,850.54/x
  3. Step 3: Cross multiply
    8,364.42x = 11,539.89 × 5,850.54
  4. Step 4: Simplify right side
    8,364.42x = 67,514,588.04
  5. Step 5: Solve for x
    x = 67,514,588.04/8,364.42
  6. Step 6: Final answer
    x = 8,071.64

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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.