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Finding the Fourth Proportional to 10,208.85, 15,315.44 and 4,660.65

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Solution

The fourth proportional to 10,208.85, 15,315.44 and 4,660.65 is: 6,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.85 : 15,315.44 = 4,660.65 : x
  2. Step 2: Convert to fraction form
    10,208.85/15,315.44 = 4,660.65/x
  3. Step 3: Cross multiply
    10,208.85x = 15,315.44 × 4,660.65
  4. Step 4: Simplify right side
    10,208.85x = 71,379,882.13
  5. Step 5: Solve for x
    x = 71,379,882.13/10,208.85
  6. Step 6: Final answer
    x = 6,991.96

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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.