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Finding the Fourth Proportional to 11,697.12, 17,548.29 and 3,377.16

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Solution

The fourth proportional to 11,697.12, 17,548.29 and 3,377.16 is: 5,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.12 : 17,548.29 = 3,377.16 : x
  2. Step 2: Convert to fraction form
    11,697.12/17,548.29 = 3,377.16/x
  3. Step 3: Cross multiply
    11,697.12x = 17,548.29 × 3,377.16
  4. Step 4: Simplify right side
    11,697.12x = 59,263,383.06
  5. Step 5: Solve for x
    x = 59,263,383.06/11,697.12
  6. Step 6: Final answer
    x = 5,066.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.