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Finding the Fourth Proportional to 11,165.64, 16,746.90 and 3,769.14

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Solution

The fourth proportional to 11,165.64, 16,746.90 and 3,769.14 is: 5,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.64 : 16,746.90 = 3,769.14 : x
  2. Step 2: Convert to fraction form
    11,165.64/16,746.90 = 3,769.14/x
  3. Step 3: Cross multiply
    11,165.64x = 16,746.90 × 3,769.14
  4. Step 4: Simplify right side
    11,165.64x = 63,121,410.67
  5. Step 5: Solve for x
    x = 63,121,410.67/11,165.64
  6. Step 6: Final answer
    x = 5,653.18

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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.