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Finding the Fourth Proportional to 11,681.49, 17,511.81 and 4,284.22

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Solution

The fourth proportional to 11,681.49, 17,511.81 and 4,284.22 is: 6,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.49 : 17,511.81 = 4,284.22 : x
  2. Step 2: Convert to fraction form
    11,681.49/17,511.81 = 4,284.22/x
  3. Step 3: Cross multiply
    11,681.49x = 17,511.81 × 4,284.22
  4. Step 4: Simplify right side
    11,681.49x = 75,024,446.64
  5. Step 5: Solve for x
    x = 75,024,446.64/11,681.49
  6. Step 6: Final answer
    x = 6,422.51

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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.