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Finding the Fourth Proportional to 8,587.44, 12,879.36 and 2,430

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Solution

The fourth proportional to 8,587.44, 12,879.36 and 2,430 is: 3,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.44 : 12,879.36 = 2,430 : x
  2. Step 2: Convert to fraction form
    8,587.44/12,879.36 = 2,430/x
  3. Step 3: Cross multiply
    8,587.44x = 12,879.36 × 2,430
  4. Step 4: Simplify right side
    8,587.44x = 31,296,844.80
  5. Step 5: Solve for x
    x = 31,296,844.80/8,587.44
  6. Step 6: Final answer
    x = 3,644.49

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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.