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Finding the Fourth Proportional to 11,346.29, 17,002.11 and 4,768.88

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Solution

The fourth proportional to 11,346.29, 17,002.11 and 4,768.88 is: 7,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.29 : 17,002.11 = 4,768.88 : x
  2. Step 2: Convert to fraction form
    11,346.29/17,002.11 = 4,768.88/x
  3. Step 3: Cross multiply
    11,346.29x = 17,002.11 × 4,768.88
  4. Step 4: Simplify right side
    11,346.29x = 81,081,022.34
  5. Step 5: Solve for x
    x = 81,081,022.34/11,346.29
  6. Step 6: Final answer
    x = 7,146.04

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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.