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Finding the Fourth Proportional to 6,246.40, 8,601.60 and 5,583

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Solution

The fourth proportional to 6,246.40, 8,601.60 and 5,583 is: 7,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.40 : 8,601.60 = 5,583 : x
  2. Step 2: Convert to fraction form
    6,246.40/8,601.60 = 5,583/x
  3. Step 3: Cross multiply
    6,246.40x = 8,601.60 × 5,583
  4. Step 4: Simplify right side
    6,246.40x = 48,022,732.80
  5. Step 5: Solve for x
    x = 48,022,732.80/6,246.40
  6. Step 6: Final answer
    x = 7,688.07

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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.