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Finding the Fourth Proportional to 11,483.25, 17,228.97 and 5,643.96

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Solution

The fourth proportional to 11,483.25, 17,228.97 and 5,643.96 is: 8,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.25 : 17,228.97 = 5,643.96 : x
  2. Step 2: Convert to fraction form
    11,483.25/17,228.97 = 5,643.96/x
  3. Step 3: Cross multiply
    11,483.25x = 17,228.97 × 5,643.96
  4. Step 4: Simplify right side
    11,483.25x = 97,239,617.52
  5. Step 5: Solve for x
    x = 97,239,617.52/11,483.25
  6. Step 6: Final answer
    x = 8,467.95

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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.