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Finding the Fourth Proportional to 10,206.65, 15,295.73 and 5,516.55

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Solution

The fourth proportional to 10,206.65, 15,295.73 and 5,516.55 is: 8,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.65 : 15,295.73 = 5,516.55 : x
  2. Step 2: Convert to fraction form
    10,206.65/15,295.73 = 5,516.55/x
  3. Step 3: Cross multiply
    10,206.65x = 15,295.73 × 5,516.55
  4. Step 4: Simplify right side
    10,206.65x = 84,379,631.75
  5. Step 5: Solve for x
    x = 84,379,631.75/10,206.65
  6. Step 6: Final answer
    x = 8,267.12

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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.