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Finding the Fourth Proportional to 8,501.86, 12,754.41 and 2,657.26

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Solution

The fourth proportional to 8,501.86, 12,754.41 and 2,657.26 is: 3,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.86 : 12,754.41 = 2,657.26 : x
  2. Step 2: Convert to fraction form
    8,501.86/12,754.41 = 2,657.26/x
  3. Step 3: Cross multiply
    8,501.86x = 12,754.41 × 2,657.26
  4. Step 4: Simplify right side
    8,501.86x = 33,891,783.52
  5. Step 5: Solve for x
    x = 33,891,783.52/8,501.86
  6. Step 6: Final answer
    x = 3,986.40

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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.