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Finding the Fourth Proportional to 11,213.94, 15,477.99 and 6,500.97

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Solution

The fourth proportional to 11,213.94, 15,477.99 and 6,500.97 is: 8,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.94 : 15,477.99 = 6,500.97 : x
  2. Step 2: Convert to fraction form
    11,213.94/15,477.99 = 6,500.97/x
  3. Step 3: Cross multiply
    11,213.94x = 15,477.99 × 6,500.97
  4. Step 4: Simplify right side
    11,213.94x = 100,621,948.65
  5. Step 5: Solve for x
    x = 100,621,948.65/11,213.94
  6. Step 6: Final answer
    x = 8,972.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.