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Finding the Fourth Proportional to 8,564.66, 12,845.50 and 2,323.86

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Solution

The fourth proportional to 8,564.66, 12,845.50 and 2,323.86 is: 3,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.66 : 12,845.50 = 2,323.86 : x
  2. Step 2: Convert to fraction form
    8,564.66/12,845.50 = 2,323.86/x
  3. Step 3: Cross multiply
    8,564.66x = 12,845.50 × 2,323.86
  4. Step 4: Simplify right side
    8,564.66x = 29,851,143.63
  5. Step 5: Solve for x
    x = 29,851,143.63/8,564.66
  6. Step 6: Final answer
    x = 3,485.39

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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.