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Finding the Fourth Proportional to 8,032.35, 11,086.07 and 5,380.16

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Solution

The fourth proportional to 8,032.35, 11,086.07 and 5,380.16 is: 7,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.35 : 11,086.07 = 5,380.16 : x
  2. Step 2: Convert to fraction form
    8,032.35/11,086.07 = 5,380.16/x
  3. Step 3: Cross multiply
    8,032.35x = 11,086.07 × 5,380.16
  4. Step 4: Simplify right side
    8,032.35x = 59,644,748.04
  5. Step 5: Solve for x
    x = 59,644,748.04/8,032.35
  6. Step 6: Final answer
    x = 7,425.57

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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.