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Finding the Fourth Proportional to 8,571.42, 11,830.46 and 5,427

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Solution

The fourth proportional to 8,571.42, 11,830.46 and 5,427 is: 7,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.42 : 11,830.46 = 5,427 : x
  2. Step 2: Convert to fraction form
    8,571.42/11,830.46 = 5,427/x
  3. Step 3: Cross multiply
    8,571.42x = 11,830.46 × 5,427
  4. Step 4: Simplify right side
    8,571.42x = 64,203,879.29
  5. Step 5: Solve for x
    x = 64,203,879.29/8,571.42
  6. Step 6: Final answer
    x = 7,490.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.