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Finding the Fourth Proportional to 6,185.78, 8,531.40 and 5,438.14

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Solution

The fourth proportional to 6,185.78, 8,531.40 and 5,438.14 is: 7,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.78 : 8,531.40 = 5,438.14 : x
  2. Step 2: Convert to fraction form
    6,185.78/8,531.40 = 5,438.14/x
  3. Step 3: Cross multiply
    6,185.78x = 8,531.40 × 5,438.14
  4. Step 4: Simplify right side
    6,185.78x = 46,394,947.60
  5. Step 5: Solve for x
    x = 46,394,947.60/6,185.78
  6. Step 6: Final answer
    x = 7,500.26

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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.