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Finding the Fourth Proportional to 8,500.86, 12,752.91 and 2,656.26

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Solution

The fourth proportional to 8,500.86, 12,752.91 and 2,656.26 is: 3,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.86 : 12,752.91 = 2,656.26 : x
  2. Step 2: Convert to fraction form
    8,500.86/12,752.91 = 2,656.26/x
  3. Step 3: Cross multiply
    8,500.86x = 12,752.91 × 2,656.26
  4. Step 4: Simplify right side
    8,500.86x = 33,875,044.72
  5. Step 5: Solve for x
    x = 33,875,044.72/8,500.86
  6. Step 6: Final answer
    x = 3,984.90

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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.