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Finding the Fourth Proportional to 11,709.91, 17,567.63 and 3,390.12

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Solution

The fourth proportional to 11,709.91, 17,567.63 and 3,390.12 is: 5,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.91 : 17,567.63 = 3,390.12 : x
  2. Step 2: Convert to fraction form
    11,709.91/17,567.63 = 3,390.12/x
  3. Step 3: Cross multiply
    11,709.91x = 17,567.63 × 3,390.12
  4. Step 4: Simplify right side
    11,709.91x = 59,556,373.82
  5. Step 5: Solve for x
    x = 59,556,373.82/11,709.91
  6. Step 6: Final answer
    x = 5,085.98

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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.