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Finding the Fourth Proportional to 7,472.88, 11,204.28 and 4,188.24

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Solution

The fourth proportional to 7,472.88, 11,204.28 and 4,188.24 is: 6,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.88 : 11,204.28 = 4,188.24 : x
  2. Step 2: Convert to fraction form
    7,472.88/11,204.28 = 4,188.24/x
  3. Step 3: Cross multiply
    7,472.88x = 11,204.28 × 4,188.24
  4. Step 4: Simplify right side
    7,472.88x = 46,926,213.67
  5. Step 5: Solve for x
    x = 46,926,213.67/7,472.88
  6. Step 6: Final answer
    x = 6,279.54

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