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Finding the Fourth Proportional to 11,809.87, 17,725.77 and 5,970.58

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Solution

The fourth proportional to 11,809.87, 17,725.77 and 5,970.58 is: 8,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.87 : 17,725.77 = 5,970.58 : x
  2. Step 2: Convert to fraction form
    11,809.87/17,725.77 = 5,970.58/x
  3. Step 3: Cross multiply
    11,809.87x = 17,725.77 × 5,970.58
  4. Step 4: Simplify right side
    11,809.87x = 105,833,083.53
  5. Step 5: Solve for x
    x = 105,833,083.53/11,809.87
  6. Step 6: Final answer
    x = 8,961.41

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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.