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Finding the Fourth Proportional to 11,806.10, 17,715.55 and 5,233.30

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Solution

The fourth proportional to 11,806.10, 17,715.55 and 5,233.30 is: 7,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.10 : 17,715.55 = 5,233.30 : x
  2. Step 2: Convert to fraction form
    11,806.10/17,715.55 = 5,233.30/x
  3. Step 3: Cross multiply
    11,806.10x = 17,715.55 × 5,233.30
  4. Step 4: Simplify right side
    11,806.10x = 92,710,787.82
  5. Step 5: Solve for x
    x = 92,710,787.82/11,806.10
  6. Step 6: Final answer
    x = 7,852.79

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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.