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Finding the Fourth Proportional to 11,667.01, 17,507.77 and 4,741.51

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Solution

The fourth proportional to 11,667.01, 17,507.77 and 4,741.51 is: 7,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.01 : 17,507.77 = 4,741.51 : x
  2. Step 2: Convert to fraction form
    11,667.01/17,507.77 = 4,741.51/x
  3. Step 3: Cross multiply
    11,667.01x = 17,507.77 × 4,741.51
  4. Step 4: Simplify right side
    11,667.01x = 83,013,266.53
  5. Step 5: Solve for x
    x = 83,013,266.53/11,667.01
  6. Step 6: Final answer
    x = 7,115.21

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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.