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Finding the Fourth Proportional to 11,641.87, 17,378.29 and 10,774.54

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Solution

The fourth proportional to 11,641.87, 17,378.29 and 10,774.54 is: 16,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.87 : 17,378.29 = 10,774.54 : x
  2. Step 2: Convert to fraction form
    11,641.87/17,378.29 = 10,774.54/x
  3. Step 3: Cross multiply
    11,641.87x = 17,378.29 × 10,774.54
  4. Step 4: Simplify right side
    11,641.87x = 187,243,080.74
  5. Step 5: Solve for x
    x = 187,243,080.74/11,641.87
  6. Step 6: Final answer
    x = 16,083.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.