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Finding the Fourth Proportional to 11,953.60, 17,928.96 and 3,189.16

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Solution

The fourth proportional to 11,953.60, 17,928.96 and 3,189.16 is: 4,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.60 : 17,928.96 = 3,189.16 : x
  2. Step 2: Convert to fraction form
    11,953.60/17,928.96 = 3,189.16/x
  3. Step 3: Cross multiply
    11,953.60x = 17,928.96 × 3,189.16
  4. Step 4: Simplify right side
    11,953.60x = 57,178,322.07
  5. Step 5: Solve for x
    x = 57,178,322.07/11,953.60
  6. Step 6: Final answer
    x = 4,783.36

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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.