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Finding the Fourth Proportional to 8,271.29, 12,395.16 and 4,107.22

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Solution

The fourth proportional to 8,271.29, 12,395.16 and 4,107.22 is: 6,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.29 : 12,395.16 = 4,107.22 : x
  2. Step 2: Convert to fraction form
    8,271.29/12,395.16 = 4,107.22/x
  3. Step 3: Cross multiply
    8,271.29x = 12,395.16 × 4,107.22
  4. Step 4: Simplify right side
    8,271.29x = 50,909,618.07
  5. Step 5: Solve for x
    x = 50,909,618.07/8,271.29
  6. Step 6: Final answer
    x = 6,154.98

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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.