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Finding the Fourth Proportional to 6,511.50, 8,983.74 and 4,154.40

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Solution

The fourth proportional to 6,511.50, 8,983.74 and 4,154.40 is: 5,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.50 : 8,983.74 = 4,154.40 : x
  2. Step 2: Convert to fraction form
    6,511.50/8,983.74 = 4,154.40/x
  3. Step 3: Cross multiply
    6,511.50x = 8,983.74 × 4,154.40
  4. Step 4: Simplify right side
    6,511.50x = 37,322,049.46
  5. Step 5: Solve for x
    x = 37,322,049.46/6,511.50
  6. Step 6: Final answer
    x = 5,731.71

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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.