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Finding the Fourth Proportional to 11,216.72, 15,477.83 and 6,435.38

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Solution

The fourth proportional to 11,216.72, 15,477.83 and 6,435.38 is: 8,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.72 : 15,477.83 = 6,435.38 : x
  2. Step 2: Convert to fraction form
    11,216.72/15,477.83 = 6,435.38/x
  3. Step 3: Cross multiply
    11,216.72x = 15,477.83 × 6,435.38
  4. Step 4: Simplify right side
    11,216.72x = 99,605,608.06
  5. Step 5: Solve for x
    x = 99,605,608.06/11,216.72
  6. Step 6: Final answer
    x = 8,880.11

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Why These Related Problems?

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