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Finding the Fourth Proportional to 8,506.00, 11,738.30 and 4,729.40

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Solution

The fourth proportional to 8,506.00, 11,738.30 and 4,729.40 is: 6,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.00 : 11,738.30 = 4,729.40 : x
  2. Step 2: Convert to fraction form
    8,506.00/11,738.30 = 4,729.40/x
  3. Step 3: Cross multiply
    8,506.00x = 11,738.30 × 4,729.40
  4. Step 4: Simplify right side
    8,506.00x = 55,515,170.33
  5. Step 5: Solve for x
    x = 55,515,170.33/8,506.00
  6. Step 6: Final answer
    x = 6,526.59

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