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Finding the Fourth Proportional to 8,734, 12,052.64 and 4,755.04

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Solution

The fourth proportional to 8,734, 12,052.64 and 4,755.04 is: 6,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734 : 12,052.64 = 4,755.04 : x
  2. Step 2: Convert to fraction form
    8,734/12,052.64 = 4,755.04/x
  3. Step 3: Cross multiply
    8,734x = 12,052.64 × 4,755.04
  4. Step 4: Simplify right side
    8,734x = 57,310,785.31
  5. Step 5: Solve for x
    x = 57,310,785.31/8,734
  6. Step 6: Final answer
    x = 6,561.80

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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.