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Finding the Fourth Proportional to 11,641.49, 17,456.19 and 5,715.73

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Solution

The fourth proportional to 11,641.49, 17,456.19 and 5,715.73 is: 8,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.49 : 17,456.19 = 5,715.73 : x
  2. Step 2: Convert to fraction form
    11,641.49/17,456.19 = 5,715.73/x
  3. Step 3: Cross multiply
    11,641.49x = 17,456.19 × 5,715.73
  4. Step 4: Simplify right side
    11,641.49x = 99,774,869.25
  5. Step 5: Solve for x
    x = 99,774,869.25/11,641.49
  6. Step 6: Final answer
    x = 8,570.63

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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.