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Finding the Fourth Proportional to 8,626.88, 12,945.92 and 4,734

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Solution

The fourth proportional to 8,626.88, 12,945.92 and 4,734 is: 7,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.88 : 12,945.92 = 4,734 : x
  2. Step 2: Convert to fraction form
    8,626.88/12,945.92 = 4,734/x
  3. Step 3: Cross multiply
    8,626.88x = 12,945.92 × 4,734
  4. Step 4: Simplify right side
    8,626.88x = 61,285,985.28
  5. Step 5: Solve for x
    x = 61,285,985.28/8,626.88
  6. Step 6: Final answer
    x = 7,104.07

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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.