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Finding the Fourth Proportional to 11,649.46, 16,077.54 and 7,172.32

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Solution

The fourth proportional to 11,649.46, 16,077.54 and 7,172.32 is: 9,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.46 : 16,077.54 = 7,172.32 : x
  2. Step 2: Convert to fraction form
    11,649.46/16,077.54 = 7,172.32/x
  3. Step 3: Cross multiply
    11,649.46x = 16,077.54 × 7,172.32
  4. Step 4: Simplify right side
    11,649.46x = 115,313,261.69
  5. Step 5: Solve for x
    x = 115,313,261.69/11,649.46
  6. Step 6: Final answer
    x = 9,898.59

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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.