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Finding the Fourth Proportional to 11,811.49, 17,717.64 and 6,257.32

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Solution

The fourth proportional to 11,811.49, 17,717.64 and 6,257.32 is: 9,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.49 : 17,717.64 = 6,257.32 : x
  2. Step 2: Convert to fraction form
    11,811.49/17,717.64 = 6,257.32/x
  3. Step 3: Cross multiply
    11,811.49x = 17,717.64 × 6,257.32
  4. Step 4: Simplify right side
    11,811.49x = 110,864,823.25
  5. Step 5: Solve for x
    x = 110,864,823.25/11,811.49
  6. Step 6: Final answer
    x = 9,386.19

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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.