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Finding the Fourth Proportional to 11,631.48, 17,447.62 and 4,612.82

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Solution

The fourth proportional to 11,631.48, 17,447.62 and 4,612.82 is: 6,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.48 : 17,447.62 = 4,612.82 : x
  2. Step 2: Convert to fraction form
    11,631.48/17,447.62 = 4,612.82/x
  3. Step 3: Cross multiply
    11,631.48x = 17,447.62 × 4,612.82
  4. Step 4: Simplify right side
    11,631.48x = 80,482,730.49
  5. Step 5: Solve for x
    x = 80,482,730.49/11,631.48
  6. Step 6: Final answer
    x = 6,919.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.