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Finding the Fourth Proportional to 8,468.32, 12,703.68 and 2,625.42

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Solution

The fourth proportional to 8,468.32, 12,703.68 and 2,625.42 is: 3,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.32 : 12,703.68 = 2,625.42 : x
  2. Step 2: Convert to fraction form
    8,468.32/12,703.68 = 2,625.42/x
  3. Step 3: Cross multiply
    8,468.32x = 12,703.68 × 2,625.42
  4. Step 4: Simplify right side
    8,468.32x = 33,352,495.55
  5. Step 5: Solve for x
    x = 33,352,495.55/8,468.32
  6. Step 6: Final answer
    x = 3,938.50

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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.