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Finding the Fourth Proportional to 8,266.27, 12,378.30 and 4,564.37

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Solution

The fourth proportional to 8,266.27, 12,378.30 and 4,564.37 is: 6,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.27 : 12,378.30 = 4,564.37 : x
  2. Step 2: Convert to fraction form
    8,266.27/12,378.30 = 4,564.37/x
  3. Step 3: Cross multiply
    8,266.27x = 12,378.30 × 4,564.37
  4. Step 4: Simplify right side
    8,266.27x = 56,499,141.17
  5. Step 5: Solve for x
    x = 56,499,141.17/8,266.27
  6. Step 6: Final answer
    x = 6,834.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.