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Finding the Fourth Proportional to 11,402.91, 17,109 and 5,158.53

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Solution

The fourth proportional to 11,402.91, 17,109 and 5,158.53 is: 7,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.91 : 17,109 = 5,158.53 : x
  2. Step 2: Convert to fraction form
    11,402.91/17,109 = 5,158.53/x
  3. Step 3: Cross multiply
    11,402.91x = 17,109 × 5,158.53
  4. Step 4: Simplify right side
    11,402.91x = 88,257,289.77
  5. Step 5: Solve for x
    x = 88,257,289.77/11,402.91
  6. Step 6: Final answer
    x = 7,739.89

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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.