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Finding the Fourth Proportional to 11,216.95, 15,480.08 and 6,181.16

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Solution

The fourth proportional to 11,216.95, 15,480.08 and 6,181.16 is: 8,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.95 : 15,480.08 = 6,181.16 : x
  2. Step 2: Convert to fraction form
    11,216.95/15,480.08 = 6,181.16/x
  3. Step 3: Cross multiply
    11,216.95x = 15,480.08 × 6,181.16
  4. Step 4: Simplify right side
    11,216.95x = 95,684,859.09
  5. Step 5: Solve for x
    x = 95,684,859.09/11,216.95
  6. Step 6: Final answer
    x = 8,530.38

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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.