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Finding the Fourth Proportional to 11,705.83, 17,540.30 and 4,300.11

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Solution

The fourth proportional to 11,705.83, 17,540.30 and 4,300.11 is: 6,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.83 : 17,540.30 = 4,300.11 : x
  2. Step 2: Convert to fraction form
    11,705.83/17,540.30 = 4,300.11/x
  3. Step 3: Cross multiply
    11,705.83x = 17,540.30 × 4,300.11
  4. Step 4: Simplify right side
    11,705.83x = 75,425,230.18
  5. Step 5: Solve for x
    x = 75,425,230.18/11,705.83
  6. Step 6: Final answer
    x = 6,443.39

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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.