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Finding the Fourth Proportional to 8,468.58, 11,686.50 and 4,640.19

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Solution

The fourth proportional to 8,468.58, 11,686.50 and 4,640.19 is: 6,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.58 : 11,686.50 = 4,640.19 : x
  2. Step 2: Convert to fraction form
    8,468.58/11,686.50 = 4,640.19/x
  3. Step 3: Cross multiply
    8,468.58x = 11,686.50 × 4,640.19
  4. Step 4: Simplify right side
    8,468.58x = 54,227,580.44
  5. Step 5: Solve for x
    x = 54,227,580.44/8,468.58
  6. Step 6: Final answer
    x = 6,403.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.