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Finding the Fourth Proportional to 7,382.40, 11,015.76 and 7,339.20

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Solution

The fourth proportional to 7,382.40, 11,015.76 and 7,339.20 is: 10,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.40 : 11,015.76 = 7,339.20 : x
  2. Step 2: Convert to fraction form
    7,382.40/11,015.76 = 7,339.20/x
  3. Step 3: Cross multiply
    7,382.40x = 11,015.76 × 7,339.20
  4. Step 4: Simplify right side
    7,382.40x = 80,846,865.79
  5. Step 5: Solve for x
    x = 80,846,865.79/7,382.40
  6. Step 6: Final answer
    x = 10,951.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.