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Finding the Fourth Proportional to 7,705.33, 11,553.17 and 3,540.00

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Solution

The fourth proportional to 7,705.33, 11,553.17 and 3,540.00 is: 5,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.33 : 11,553.17 = 3,540.00 : x
  2. Step 2: Convert to fraction form
    7,705.33/11,553.17 = 3,540.00/x
  3. Step 3: Cross multiply
    7,705.33x = 11,553.17 × 3,540.00
  4. Step 4: Simplify right side
    7,705.33x = 40,898,247.42
  5. Step 5: Solve for x
    x = 40,898,247.42/7,705.33
  6. Step 6: Final answer
    x = 5,307.79

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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.