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Finding the Fourth Proportional to 8,594.86, 12,891.74 and 5,129.50

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Solution

The fourth proportional to 8,594.86, 12,891.74 and 5,129.50 is: 7,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.86 : 12,891.74 = 5,129.50 : x
  2. Step 2: Convert to fraction form
    8,594.86/12,891.74 = 5,129.50/x
  3. Step 3: Cross multiply
    8,594.86x = 12,891.74 × 5,129.50
  4. Step 4: Simplify right side
    8,594.86x = 66,128,180.33
  5. Step 5: Solve for x
    x = 66,128,180.33/8,594.86
  6. Step 6: Final answer
    x = 7,693.92

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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.