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Finding the Fourth Proportional to 11,779.77, 17,669.64 and 3,014.69

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Solution

The fourth proportional to 11,779.77, 17,669.64 and 3,014.69 is: 4,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.77 : 17,669.64 = 3,014.69 : x
  2. Step 2: Convert to fraction form
    11,779.77/17,669.64 = 3,014.69/x
  3. Step 3: Cross multiply
    11,779.77x = 17,669.64 × 3,014.69
  4. Step 4: Simplify right side
    11,779.77x = 53,268,487.01
  5. Step 5: Solve for x
    x = 53,268,487.01/11,779.77
  6. Step 6: Final answer
    x = 4,522.03

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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.