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Finding the Fourth Proportional to 8,500.70, 11,729.30 and 4,964.06

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Solution

The fourth proportional to 8,500.70, 11,729.30 and 4,964.06 is: 6,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.70 : 11,729.30 = 4,964.06 : x
  2. Step 2: Convert to fraction form
    8,500.70/11,729.30 = 4,964.06/x
  3. Step 3: Cross multiply
    8,500.70x = 11,729.30 × 4,964.06
  4. Step 4: Simplify right side
    8,500.70x = 58,224,948.96
  5. Step 5: Solve for x
    x = 58,224,948.96/8,500.70
  6. Step 6: Final answer
    x = 6,849.43

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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.