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Finding the Fourth Proportional to 11,407.20, 17,109.09 and 3,615

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Solution

The fourth proportional to 11,407.20, 17,109.09 and 3,615 is: 5,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.20 : 17,109.09 = 3,615 : x
  2. Step 2: Convert to fraction form
    11,407.20/17,109.09 = 3,615/x
  3. Step 3: Cross multiply
    11,407.20x = 17,109.09 × 3,615
  4. Step 4: Simplify right side
    11,407.20x = 61,849,360.35
  5. Step 5: Solve for x
    x = 61,849,360.35/11,407.20
  6. Step 6: Final answer
    x = 5,421.96

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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.