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Finding the Fourth Proportional to 11,205.08, 15,462.64 and 6,168.84

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Solution

The fourth proportional to 11,205.08, 15,462.64 and 6,168.84 is: 8,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.08 : 15,462.64 = 6,168.84 : x
  2. Step 2: Convert to fraction form
    11,205.08/15,462.64 = 6,168.84/x
  3. Step 3: Cross multiply
    11,205.08x = 15,462.64 × 6,168.84
  4. Step 4: Simplify right side
    11,205.08x = 95,386,552.14
  5. Step 5: Solve for x
    x = 95,386,552.14/11,205.08
  6. Step 6: Final answer
    x = 8,512.80

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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.