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Finding the Fourth Proportional to 11,410.76, 17,077.20 and 9,563.96

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Solution

The fourth proportional to 11,410.76, 17,077.20 and 9,563.96 is: 14,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.76 : 17,077.20 = 9,563.96 : x
  2. Step 2: Convert to fraction form
    11,410.76/17,077.20 = 9,563.96/x
  3. Step 3: Cross multiply
    11,410.76x = 17,077.20 × 9,563.96
  4. Step 4: Simplify right side
    11,410.76x = 163,325,657.71
  5. Step 5: Solve for x
    x = 163,325,657.71/11,410.76
  6. Step 6: Final answer
    x = 14,313.30

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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.