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Finding the Fourth Proportional to 11,968.34, 17,955.18 and 3,649.01

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Solution

The fourth proportional to 11,968.34, 17,955.18 and 3,649.01 is: 5,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.34 : 17,955.18 = 3,649.01 : x
  2. Step 2: Convert to fraction form
    11,968.34/17,955.18 = 3,649.01/x
  3. Step 3: Cross multiply
    11,968.34x = 17,955.18 × 3,649.01
  4. Step 4: Simplify right side
    11,968.34x = 65,518,541.60
  5. Step 5: Solve for x
    x = 65,518,541.60/11,968.34
  6. Step 6: Final answer
    x = 5,474.32

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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.