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Finding the Fourth Proportional to 11,563.65, 17,363.70 and 8,465.40

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Solution

The fourth proportional to 11,563.65, 17,363.70 and 8,465.40 is: 12,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.65 : 17,363.70 = 8,465.40 : x
  2. Step 2: Convert to fraction form
    11,563.65/17,363.70 = 8,465.40/x
  3. Step 3: Cross multiply
    11,563.65x = 17,363.70 × 8,465.40
  4. Step 4: Simplify right side
    11,563.65x = 146,990,665.98
  5. Step 5: Solve for x
    x = 146,990,665.98/11,563.65
  6. Step 6: Final answer
    x = 12,711.44

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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.