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Finding the Fourth Proportional to 11,776.85, 17,641.42 and 5,442.73

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Solution

The fourth proportional to 11,776.85, 17,641.42 and 5,442.73 is: 8,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.85 : 17,641.42 = 5,442.73 : x
  2. Step 2: Convert to fraction form
    11,776.85/17,641.42 = 5,442.73/x
  3. Step 3: Cross multiply
    11,776.85x = 17,641.42 × 5,442.73
  4. Step 4: Simplify right side
    11,776.85x = 96,017,428.17
  5. Step 5: Solve for x
    x = 96,017,428.17/11,776.85
  6. Step 6: Final answer
    x = 8,153.07

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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.