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Finding the Fourth Proportional to 8,263.23, 12,379.21 and 6,405.24

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Solution

The fourth proportional to 8,263.23, 12,379.21 and 6,405.24 is: 9,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.23 : 12,379.21 = 6,405.24 : x
  2. Step 2: Convert to fraction form
    8,263.23/12,379.21 = 6,405.24/x
  3. Step 3: Cross multiply
    8,263.23x = 12,379.21 × 6,405.24
  4. Step 4: Simplify right side
    8,263.23x = 79,291,811.06
  5. Step 5: Solve for x
    x = 79,291,811.06/8,263.23
  6. Step 6: Final answer
    x = 9,595.74

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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.