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Finding the Fourth Proportional to 11,574.64, 17,361.96 and 4,649.14

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Solution

The fourth proportional to 11,574.64, 17,361.96 and 4,649.14 is: 6,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.64 : 17,361.96 = 4,649.14 : x
  2. Step 2: Convert to fraction form
    11,574.64/17,361.96 = 4,649.14/x
  3. Step 3: Cross multiply
    11,574.64x = 17,361.96 × 4,649.14
  4. Step 4: Simplify right side
    11,574.64x = 80,718,182.71
  5. Step 5: Solve for x
    x = 80,718,182.71/11,574.64
  6. Step 6: Final answer
    x = 6,973.71

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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.