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Finding the Fourth Proportional to 8,263.77, 12,395.67 and 5,809.57

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Solution

The fourth proportional to 8,263.77, 12,395.67 and 5,809.57 is: 8,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.77 : 12,395.67 = 5,809.57 : x
  2. Step 2: Convert to fraction form
    8,263.77/12,395.67 = 5,809.57/x
  3. Step 3: Cross multiply
    8,263.77x = 12,395.67 × 5,809.57
  4. Step 4: Simplify right side
    8,263.77x = 72,013,512.56
  5. Step 5: Solve for x
    x = 72,013,512.56/8,263.77
  6. Step 6: Final answer
    x = 8,714.37

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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.