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Finding the Fourth Proportional to 11,184.72, 15,435.06 and 6,149.43

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Solution

The fourth proportional to 11,184.72, 15,435.06 and 6,149.43 is: 8,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.72 : 15,435.06 = 6,149.43 : x
  2. Step 2: Convert to fraction form
    11,184.72/15,435.06 = 6,149.43/x
  3. Step 3: Cross multiply
    11,184.72x = 15,435.06 × 6,149.43
  4. Step 4: Simplify right side
    11,184.72x = 94,916,821.02
  5. Step 5: Solve for x
    x = 94,916,821.02/11,184.72
  6. Step 6: Final answer
    x = 8,486.29

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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.