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Finding the Fourth Proportional to 7,311.28, 10,951.18 and 4,182.50

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Solution

The fourth proportional to 7,311.28, 10,951.18 and 4,182.50 is: 6,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.28 : 10,951.18 = 4,182.50 : x
  2. Step 2: Convert to fraction form
    7,311.28/10,951.18 = 4,182.50/x
  3. Step 3: Cross multiply
    7,311.28x = 10,951.18 × 4,182.50
  4. Step 4: Simplify right side
    7,311.28x = 45,803,310.35
  5. Step 5: Solve for x
    x = 45,803,310.35/7,311.28
  6. Step 6: Final answer
    x = 6,264.75

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Why These Related Problems?

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