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Finding the Fourth Proportional to 11,652.41, 17,464.74 and 6,711.81

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Solution

The fourth proportional to 11,652.41, 17,464.74 and 6,711.81 is: 10,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.41 : 17,464.74 = 6,711.81 : x
  2. Step 2: Convert to fraction form
    11,652.41/17,464.74 = 6,711.81/x
  3. Step 3: Cross multiply
    11,652.41x = 17,464.74 × 6,711.81
  4. Step 4: Simplify right side
    11,652.41x = 117,220,016.58
  5. Step 5: Solve for x
    x = 117,220,016.58/11,652.41
  6. Step 6: Final answer
    x = 10,059.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.