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Finding the Fourth Proportional to 11,679.60, 17,514.80 and 5,101.19

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Solution

The fourth proportional to 11,679.60, 17,514.80 and 5,101.19 is: 7,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.60 : 17,514.80 = 5,101.19 : x
  2. Step 2: Convert to fraction form
    11,679.60/17,514.80 = 5,101.19/x
  3. Step 3: Cross multiply
    11,679.60x = 17,514.80 × 5,101.19
  4. Step 4: Simplify right side
    11,679.60x = 89,346,294.34
  5. Step 5: Solve for x
    x = 89,346,294.34/11,679.60
  6. Step 6: Final answer
    x = 7,649.77

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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.