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Finding the Fourth Proportional to 7,614.04, 11,422 and 3,715.50

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Solution

The fourth proportional to 7,614.04, 11,422 and 3,715.50 is: 5,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.04 : 11,422 = 3,715.50 : x
  2. Step 2: Convert to fraction form
    7,614.04/11,422 = 3,715.50/x
  3. Step 3: Cross multiply
    7,614.04x = 11,422 × 3,715.50
  4. Step 4: Simplify right side
    7,614.04x = 42,438,441
  5. Step 5: Solve for x
    x = 42,438,441/7,614.04
  6. Step 6: Final answer
    x = 5,573.71

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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.