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Finding the Fourth Proportional to 11,164.80, 15,407.68 and 6,196.80

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Solution

The fourth proportional to 11,164.80, 15,407.68 and 6,196.80 is: 8,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.80 : 15,407.68 = 6,196.80 : x
  2. Step 2: Convert to fraction form
    11,164.80/15,407.68 = 6,196.80/x
  3. Step 3: Cross multiply
    11,164.80x = 15,407.68 × 6,196.80
  4. Step 4: Simplify right side
    11,164.80x = 95,478,311.42
  5. Step 5: Solve for x
    x = 95,478,311.42/11,164.80
  6. Step 6: Final answer
    x = 8,551.73

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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.