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Finding the Fourth Proportional to 8,625.96, 12,946.82 and 4,468.61

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Solution

The fourth proportional to 8,625.96, 12,946.82 and 4,468.61 is: 6,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.96 : 12,946.82 = 4,468.61 : x
  2. Step 2: Convert to fraction form
    8,625.96/12,946.82 = 4,468.61/x
  3. Step 3: Cross multiply
    8,625.96x = 12,946.82 × 4,468.61
  4. Step 4: Simplify right side
    8,625.96x = 57,854,299.34
  5. Step 5: Solve for x
    x = 57,854,299.34/8,625.96
  6. Step 6: Final answer
    x = 6,707.00

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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.