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Finding the Fourth Proportional to 11,649.90, 16,076.06 and 6,614.22

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Solution

The fourth proportional to 11,649.90, 16,076.06 and 6,614.22 is: 9,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.90 : 16,076.06 = 6,614.22 : x
  2. Step 2: Convert to fraction form
    11,649.90/16,076.06 = 6,614.22/x
  3. Step 3: Cross multiply
    11,649.90x = 16,076.06 × 6,614.22
  4. Step 4: Simplify right side
    11,649.90x = 106,330,597.57
  5. Step 5: Solve for x
    x = 106,330,597.57/11,649.90
  6. Step 6: Final answer
    x = 9,127.17

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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.