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Finding the Fourth Proportional to 10,206.77, 15,295.90 and 5,516.67

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Solution

The fourth proportional to 10,206.77, 15,295.90 and 5,516.67 is: 8,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.77 : 15,295.90 = 5,516.67 : x
  2. Step 2: Convert to fraction form
    10,206.77/15,295.90 = 5,516.67/x
  3. Step 3: Cross multiply
    10,206.77x = 15,295.90 × 5,516.67
  4. Step 4: Simplify right side
    10,206.77x = 84,382,432.65
  5. Step 5: Solve for x
    x = 84,382,432.65/10,206.77
  6. Step 6: Final answer
    x = 8,267.30

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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.