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Finding the Fourth Proportional to 8,533.42, 11,771.58 and 5,882.20

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Solution

The fourth proportional to 8,533.42, 11,771.58 and 5,882.20 is: 8,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.42 : 11,771.58 = 5,882.20 : x
  2. Step 2: Convert to fraction form
    8,533.42/11,771.58 = 5,882.20/x
  3. Step 3: Cross multiply
    8,533.42x = 11,771.58 × 5,882.20
  4. Step 4: Simplify right side
    8,533.42x = 69,242,787.88
  5. Step 5: Solve for x
    x = 69,242,787.88/8,533.42
  6. Step 6: Final answer
    x = 8,114.31

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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.