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Finding the Fourth Proportional to 10,847.80, 16,271.70 and 8,223.40

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Solution

The fourth proportional to 10,847.80, 16,271.70 and 8,223.40 is: 12,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.80 : 16,271.70 = 8,223.40 : x
  2. Step 2: Convert to fraction form
    10,847.80/16,271.70 = 8,223.40/x
  3. Step 3: Cross multiply
    10,847.80x = 16,271.70 × 8,223.40
  4. Step 4: Simplify right side
    10,847.80x = 133,808,697.78
  5. Step 5: Solve for x
    x = 133,808,697.78/10,847.80
  6. Step 6: Final answer
    x = 12,335.10

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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.