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Finding the Fourth Proportional to 7,571.64, 11,349.82 and 3,811.93

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Solution

The fourth proportional to 7,571.64, 11,349.82 and 3,811.93 is: 5,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.64 : 11,349.82 = 3,811.93 : x
  2. Step 2: Convert to fraction form
    7,571.64/11,349.82 = 3,811.93/x
  3. Step 3: Cross multiply
    7,571.64x = 11,349.82 × 3,811.93
  4. Step 4: Simplify right side
    7,571.64x = 43,264,695.74
  5. Step 5: Solve for x
    x = 43,264,695.74/7,571.64
  6. Step 6: Final answer
    x = 5,714.04

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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.