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Finding the Fourth Proportional to 8,440.54, 11,649.09 and 6,341.02

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Solution

The fourth proportional to 8,440.54, 11,649.09 and 6,341.02 is: 8,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.54 : 11,649.09 = 6,341.02 : x
  2. Step 2: Convert to fraction form
    8,440.54/11,649.09 = 6,341.02/x
  3. Step 3: Cross multiply
    8,440.54x = 11,649.09 × 6,341.02
  4. Step 4: Simplify right side
    8,440.54x = 73,867,112.67
  5. Step 5: Solve for x
    x = 73,867,112.67/8,440.54
  6. Step 6: Final answer
    x = 8,751.47

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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.