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Finding the Fourth Proportional to 8,509.41, 11,737.14 and 5,146.43

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Solution

The fourth proportional to 8,509.41, 11,737.14 and 5,146.43 is: 7,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.41 : 11,737.14 = 5,146.43 : x
  2. Step 2: Convert to fraction form
    8,509.41/11,737.14 = 5,146.43/x
  3. Step 3: Cross multiply
    8,509.41x = 11,737.14 × 5,146.43
  4. Step 4: Simplify right side
    8,509.41x = 60,404,310.72
  5. Step 5: Solve for x
    x = 60,404,310.72/8,509.41
  6. Step 6: Final answer
    x = 7,098.53

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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.