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Finding the Fourth Proportional to 11,730.49, 17,573.05 and 6,520.57

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Solution

The fourth proportional to 11,730.49, 17,573.05 and 6,520.57 is: 9,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.49 : 17,573.05 = 6,520.57 : x
  2. Step 2: Convert to fraction form
    11,730.49/17,573.05 = 6,520.57/x
  3. Step 3: Cross multiply
    11,730.49x = 17,573.05 × 6,520.57
  4. Step 4: Simplify right side
    11,730.49x = 114,586,266.86
  5. Step 5: Solve for x
    x = 114,586,266.86/11,730.49
  6. Step 6: Final answer
    x = 9,768.24

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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.