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Finding the Fourth Proportional to 11,459.98, 17,190 and 3,139.78

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Solution

The fourth proportional to 11,459.98, 17,190 and 3,139.78 is: 4,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.98 : 17,190 = 3,139.78 : x
  2. Step 2: Convert to fraction form
    11,459.98/17,190 = 3,139.78/x
  3. Step 3: Cross multiply
    11,459.98x = 17,190 × 3,139.78
  4. Step 4: Simplify right side
    11,459.98x = 53,972,818.20
  5. Step 5: Solve for x
    x = 53,972,818.20/11,459.98
  6. Step 6: Final answer
    x = 4,709.68

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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.