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Finding the Fourth Proportional to 7,649.19, 11,464.07 and 3,491.46

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Solution

The fourth proportional to 7,649.19, 11,464.07 and 3,491.46 is: 5,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.19 : 11,464.07 = 3,491.46 : x
  2. Step 2: Convert to fraction form
    7,649.19/11,464.07 = 3,491.46/x
  3. Step 3: Cross multiply
    7,649.19x = 11,464.07 × 3,491.46
  4. Step 4: Simplify right side
    7,649.19x = 40,026,324.38
  5. Step 5: Solve for x
    x = 40,026,324.38/7,649.19
  6. Step 6: Final answer
    x = 5,232.75

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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.