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Finding the Fourth Proportional to 7,601.32, 11,384.34 and 7,338.50

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Solution

The fourth proportional to 7,601.32, 11,384.34 and 7,338.50 is: 10,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.32 : 11,384.34 = 7,338.50 : x
  2. Step 2: Convert to fraction form
    7,601.32/11,384.34 = 7,338.50/x
  3. Step 3: Cross multiply
    7,601.32x = 11,384.34 × 7,338.50
  4. Step 4: Simplify right side
    7,601.32x = 83,543,979.09
  5. Step 5: Solve for x
    x = 83,543,979.09/7,601.32
  6. Step 6: Final answer
    x = 10,990.72

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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.