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Finding the Fourth Proportional to 12,587.47, 18,879.97 and 3,822.46

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Solution

The fourth proportional to 12,587.47, 18,879.97 and 3,822.46 is: 5,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.47 : 18,879.97 = 3,822.46 : x
  2. Step 2: Convert to fraction form
    12,587.47/18,879.97 = 3,822.46/x
  3. Step 3: Cross multiply
    12,587.47x = 18,879.97 × 3,822.46
  4. Step 4: Simplify right side
    12,587.47x = 72,167,840.50
  5. Step 5: Solve for x
    x = 72,167,840.50/12,587.47
  6. Step 6: Final answer
    x = 5,733.31

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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.