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Finding the Fourth Proportional to 11,708.87, 17,559.72 and 6,159.15

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Solution

The fourth proportional to 11,708.87, 17,559.72 and 6,159.15 is: 9,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.87 : 17,559.72 = 6,159.15 : x
  2. Step 2: Convert to fraction form
    11,708.87/17,559.72 = 6,159.15/x
  3. Step 3: Cross multiply
    11,708.87x = 17,559.72 × 6,159.15
  4. Step 4: Simplify right side
    11,708.87x = 108,152,949.44
  5. Step 5: Solve for x
    x = 108,152,949.44/11,708.87
  6. Step 6: Final answer
    x = 9,236.84

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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.