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Finding the Fourth Proportional to 8,509.56, 11,739.92 and 6,276.74

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Solution

The fourth proportional to 8,509.56, 11,739.92 and 6,276.74 is: 8,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.56 : 11,739.92 = 6,276.74 : x
  2. Step 2: Convert to fraction form
    8,509.56/11,739.92 = 6,276.74/x
  3. Step 3: Cross multiply
    8,509.56x = 11,739.92 × 6,276.74
  4. Step 4: Simplify right side
    8,509.56x = 73,688,335.38
  5. Step 5: Solve for x
    x = 73,688,335.38/8,509.56
  6. Step 6: Final answer
    x = 8,659.48

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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.