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Finding the Fourth Proportional to 8,266.57, 11,406.67 and 4,729.12

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Solution

The fourth proportional to 8,266.57, 11,406.67 and 4,729.12 is: 6,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.57 : 11,406.67 = 4,729.12 : x
  2. Step 2: Convert to fraction form
    8,266.57/11,406.67 = 4,729.12/x
  3. Step 3: Cross multiply
    8,266.57x = 11,406.67 × 4,729.12
  4. Step 4: Simplify right side
    8,266.57x = 53,943,511.23
  5. Step 5: Solve for x
    x = 53,943,511.23/8,266.57
  6. Step 6: Final answer
    x = 6,525.50

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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.