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Finding the Fourth Proportional to 11,709.78, 17,564.58 and 4,779.42

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Solution

The fourth proportional to 11,709.78, 17,564.58 and 4,779.42 is: 7,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.78 : 17,564.58 = 4,779.42 : x
  2. Step 2: Convert to fraction form
    11,709.78/17,564.58 = 4,779.42/x
  3. Step 3: Cross multiply
    11,709.78x = 17,564.58 × 4,779.42
  4. Step 4: Simplify right side
    11,709.78x = 83,948,504.94
  5. Step 5: Solve for x
    x = 83,948,504.94/11,709.78
  6. Step 6: Final answer
    x = 7,169.09

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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.