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Finding the Fourth Proportional to 11,184.98, 15,435.45 and 6,149.42

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Solution

The fourth proportional to 11,184.98, 15,435.45 and 6,149.42 is: 8,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.98 : 15,435.45 = 6,149.42 : x
  2. Step 2: Convert to fraction form
    11,184.98/15,435.45 = 6,149.42/x
  3. Step 3: Cross multiply
    11,184.98x = 15,435.45 × 6,149.42
  4. Step 4: Simplify right side
    11,184.98x = 94,919,064.94
  5. Step 5: Solve for x
    x = 94,919,064.94/11,184.98
  6. Step 6: Final answer
    x = 8,486.30

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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.