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Finding the Fourth Proportional to 11,222.90, 15,486.90 and 6,186.86

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Solution

The fourth proportional to 11,222.90, 15,486.90 and 6,186.86 is: 8,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.90 : 15,486.90 = 6,186.86 : x
  2. Step 2: Convert to fraction form
    11,222.90/15,486.90 = 6,186.86/x
  3. Step 3: Cross multiply
    11,222.90x = 15,486.90 × 6,186.86
  4. Step 4: Simplify right side
    11,222.90x = 95,815,204.70
  5. Step 5: Solve for x
    x = 95,815,204.70/11,222.90
  6. Step 6: Final answer
    x = 8,537.48

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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.