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Finding the Fourth Proportional to 11,643.19, 17,464.79 and 3,852.00

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Solution

The fourth proportional to 11,643.19, 17,464.79 and 3,852.00 is: 5,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.19 : 17,464.79 = 3,852.00 : x
  2. Step 2: Convert to fraction form
    11,643.19/17,464.79 = 3,852.00/x
  3. Step 3: Cross multiply
    11,643.19x = 17,464.79 × 3,852.00
  4. Step 4: Simplify right side
    11,643.19x = 67,274,414.74
  5. Step 5: Solve for x
    x = 67,274,414.74/11,643.19
  6. Step 6: Final answer
    x = 5,778.01

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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.