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Finding the Fourth Proportional to 11,779.56, 17,667.72 and 3,987.36

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Solution

The fourth proportional to 11,779.56, 17,667.72 and 3,987.36 is: 5,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.56 : 17,667.72 = 3,987.36 : x
  2. Step 2: Convert to fraction form
    11,779.56/17,667.72 = 3,987.36/x
  3. Step 3: Cross multiply
    11,779.56x = 17,667.72 × 3,987.36
  4. Step 4: Simplify right side
    11,779.56x = 70,447,560.02
  5. Step 5: Solve for x
    x = 70,447,560.02/11,779.56
  6. Step 6: Final answer
    x = 5,980.49

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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.