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Finding the Fourth Proportional to 11,478.32, 17,189.78 and 6,532.96

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Solution

The fourth proportional to 11,478.32, 17,189.78 and 6,532.96 is: 9,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.32 : 17,189.78 = 6,532.96 : x
  2. Step 2: Convert to fraction form
    11,478.32/17,189.78 = 6,532.96/x
  3. Step 3: Cross multiply
    11,478.32x = 17,189.78 × 6,532.96
  4. Step 4: Simplify right side
    11,478.32x = 112,300,145.15
  5. Step 5: Solve for x
    x = 112,300,145.15/11,478.32
  6. Step 6: Final answer
    x = 9,783.67

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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.