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Finding the Fourth Proportional to 8,571.60, 11,820 and 6,052.56

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Solution

The fourth proportional to 8,571.60, 11,820 and 6,052.56 is: 8,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.60 : 11,820 = 6,052.56 : x
  2. Step 2: Convert to fraction form
    8,571.60/11,820 = 6,052.56/x
  3. Step 3: Cross multiply
    8,571.60x = 11,820 × 6,052.56
  4. Step 4: Simplify right side
    8,571.60x = 71,541,259.20
  5. Step 5: Solve for x
    x = 71,541,259.20/8,571.60
  6. Step 6: Final answer
    x = 8,346.31

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Why These Related Problems?

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