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Finding the Fourth Proportional to 11,652.44, 17,478.27 and 6,940.91

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Solution

The fourth proportional to 11,652.44, 17,478.27 and 6,940.91 is: 10,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.44 : 17,478.27 = 6,940.91 : x
  2. Step 2: Convert to fraction form
    11,652.44/17,478.27 = 6,940.91/x
  3. Step 3: Cross multiply
    11,652.44x = 17,478.27 × 6,940.91
  4. Step 4: Simplify right side
    11,652.44x = 121,315,011.63
  5. Step 5: Solve for x
    x = 121,315,011.63/11,652.44
  6. Step 6: Final answer
    x = 10,411.13

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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.