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Finding the Fourth Proportional to 7,520.74, 11,287.58 and 5,213.86

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Solution

The fourth proportional to 7,520.74, 11,287.58 and 5,213.86 is: 7,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.74 : 11,287.58 = 5,213.86 : x
  2. Step 2: Convert to fraction form
    7,520.74/11,287.58 = 5,213.86/x
  3. Step 3: Cross multiply
    7,520.74x = 11,287.58 × 5,213.86
  4. Step 4: Simplify right side
    7,520.74x = 58,851,818.46
  5. Step 5: Solve for x
    x = 58,851,818.46/7,520.74
  6. Step 6: Final answer
    x = 7,825.27

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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.