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Finding the Fourth Proportional to 7,137.88, 10,704.16 and 2,456.58

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Solution

The fourth proportional to 7,137.88, 10,704.16 and 2,456.58 is: 3,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.88 : 10,704.16 = 2,456.58 : x
  2. Step 2: Convert to fraction form
    7,137.88/10,704.16 = 2,456.58/x
  3. Step 3: Cross multiply
    7,137.88x = 10,704.16 × 2,456.58
  4. Step 4: Simplify right side
    7,137.88x = 26,295,625.37
  5. Step 5: Solve for x
    x = 26,295,625.37/7,137.88
  6. Step 6: Final answer
    x = 3,683.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.