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Finding the Fourth Proportional to 11,650.90, 16,069.56 and 7,398.28

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Solution

The fourth proportional to 11,650.90, 16,069.56 and 7,398.28 is: 10,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.90 : 16,069.56 = 7,398.28 : x
  2. Step 2: Convert to fraction form
    11,650.90/16,069.56 = 7,398.28/x
  3. Step 3: Cross multiply
    11,650.90x = 16,069.56 × 7,398.28
  4. Step 4: Simplify right side
    11,650.90x = 118,887,104.36
  5. Step 5: Solve for x
    x = 118,887,104.36/11,650.90
  6. Step 6: Final answer
    x = 10,204.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.