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Finding the Fourth Proportional to 7,575.04, 11,379.84 and 7,264

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Solution

The fourth proportional to 7,575.04, 11,379.84 and 7,264 is: 10,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.04 : 11,379.84 = 7,264 : x
  2. Step 2: Convert to fraction form
    7,575.04/11,379.84 = 7,264/x
  3. Step 3: Cross multiply
    7,575.04x = 11,379.84 × 7,264
  4. Step 4: Simplify right side
    7,575.04x = 82,663,157.76
  5. Step 5: Solve for x
    x = 82,663,157.76/7,575.04
  6. Step 6: Final answer
    x = 10,912.57

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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.