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Finding the Fourth Proportional to 6,137.14, 8,474.67 and 4,562.50

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Solution

The fourth proportional to 6,137.14, 8,474.67 and 4,562.50 is: 6,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.14 : 8,474.67 = 4,562.50 : x
  2. Step 2: Convert to fraction form
    6,137.14/8,474.67 = 4,562.50/x
  3. Step 3: Cross multiply
    6,137.14x = 8,474.67 × 4,562.50
  4. Step 4: Simplify right side
    6,137.14x = 38,665,616.69
  5. Step 5: Solve for x
    x = 38,665,616.69/6,137.14
  6. Step 6: Final answer
    x = 6,300.27

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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.